diff --git a/packages/aws-lambda/README.md b/packages/aws-lambda/README.md
index 5fdb97a..d922916 100644
--- a/packages/aws-lambda/README.md
+++ b/packages/aws-lambda/README.md
@@ -104,7 +104,8 @@ The event carries the request body as a fully buffered, optionally base64-encode
 - **`set-cookie` is sent via metadata cookies.** Multiple cookies survive because they are sent through the dedicated `cookies` metadata field; every other multi-value header is joined with `, `.
 - **Request bodies are buffered.** API Gateway delivers the whole request body at once, so request-side streaming degrades to a single buffered chunk. Response-side streaming is real streaming.
 - **Payload format 1.0 query strings are re-encoded.** API Gateway delivers them url-decoded, so the adapter re-encodes them when reconstructing the standard url. Payload format 2.0 provides the already encoded `rawQueryString`, which is used as-is.
-- **Decoded paths are re-escaped.** HTTP APIs deliver the request path url-decoded (payload format 2.0 `rawPath` included), while REST APIs and Lambda Function URLs deliver it still encoded. The adapter percent-encodes the same characters the WHATWG [`URL`](https://url.spec.whatwg.org/#path-percent-encode-set) parser escapes in a pathname (`?`, `#`, spaces, non-ascii, ...), so encoded paths pass through unchanged and a decoded `?` or `#` cannot be mistaken for the query string or fragment. Characters API Gateway already decoded into url syntax (`%2F` → `/`) or dropped cannot be recovered.
+- **HTTP API paths are re-escaped.** HTTP APIs deliver the request path url-decoded (payload format 1.0 `path` and 2.0 `rawPath`), while REST APIs, ALB and Lambda Function URLs deliver it still encoded. Encoded paths only get the characters the WHATWG [`URL`](https://url.spec.whatwg.org/#path-percent-encode-set) parser escapes in a pathname (`?`, `#`, spaces, non-ascii, ...), so they pass through unchanged. Decoded paths get everything but RFC 3986 path characters escaped, `%` and `\` included, so they decode back to exactly what API Gateway delivered: a decoded `?` or `#` cannot be mistaken for the query string or fragment, and a decoded `%2e%2e` or `\` cannot become a dot segment or a `/` that resolves to a path API Gateway never routed. HTTP API events are recognized by `version: '1.0'` in payload format 1.0, and in 2.0 by any `requestContext.domainName` (or none) other than a Function URL's `<url-id>.lambda-url.<region>.on.aws`.
+- **HTTP API path decoding cannot be fully undone.** Characters API Gateway already decoded into url syntax (`%2F` → `/`) or dropped (a decoded `?` truncates the path) cannot be recovered. HTTP APIs have also been observed decoding the path twice (`%2525` arrives as `%`, `%252F` as `/`), so a request such as `/public/%252e%252e/secret` may match a `/public/{proxy+}` route yet reach the function with a literal `..` segment. A dot segment cannot be represented in a URL without being resolved, so your app would see `/secret`. Do not rely on route-level authorizers alone to protect a path next to an unauthenticated greedy route; also authorize in the app, against the path it routes on.
 - **Payload format 2.0 cookies are restored.** API Gateway strips the `cookie` header into the separate `cookies` field, and the adapter joins them back into a `cookie` header on the standard request.
 
 ## Learn more
diff --git a/packages/aws-lambda/src/types.ts b/packages/aws-lambda/src/types.ts
index 4e11f08..b9640fa 100644
--- a/packages/aws-lambda/src/types.ts
+++ b/packages/aws-lambda/src/types.ts
@@ -6,12 +6,18 @@ import type { Writable } from 'node:stream'
  * A structural subset of the same-named type from `@types/aws-lambda`.
  */
 export interface APIGatewayProxyEvent {
+  /**
+   * Only set by HTTP APIs, REST APIs and ALB omit it.
+   *
+   * @example '1.0'
+   */
+  version?: string
   /**
    * @example 'GET', 'POST', etc.
    */
   httpMethod: string
   /**
-   * Url-decoded when delivered by an HTTP API, still encoded from a REST API.
+   * Url-decoded when delivered by an HTTP API (`version` is `'1.0'`), still encoded from a REST API or ALB.
    *
    * @example '/example'
    */
@@ -46,7 +52,8 @@ export interface APIGatewayProxyEvent {
  */
 export interface APIGatewayProxyEventV2 {
   /**
-   * Url-decoded when delivered by an HTTP API, still encoded from a Lambda Function URL.
+   * Url-decoded when delivered by an HTTP API, still encoded from a Lambda Function URL,
+   * told apart by `requestContext.domainName`.
    *
    * @example '/example'
    */
@@ -64,6 +71,13 @@ export interface APIGatewayProxyEventV2 {
    */
   cookies?: string[] | null
   requestContext: {
+    /**
+     * `<url-id>.lambda-url.<region>.on.aws` for Lambda Function URLs,
+     * anything else, or missing, is treated as an HTTP API.
+     *
+     * @example 'id.execute-api.us-east-1.amazonaws.com'
+     */
+    domainName?: string
     http: {
       /**
        * @example 'GET', 'POST', etc.
diff --git a/packages/aws-lambda/src/url.test.ts b/packages/aws-lambda/src/url.test.ts
index 2a1335c..fdbfccd 100644
--- a/packages/aws-lambda/src/url.test.ts
+++ b/packages/aws-lambda/src/url.test.ts
@@ -1,3 +1,5 @@
+import { safeDecodeURIComponent } from '@standard-server/shared'
+
 import { toStandardUrl } from './url'
 
 describe('toStandardUrl (v2)', () => {
@@ -114,8 +116,18 @@ describe('toStandardUrl (v1)', () => {
 })
 
 describe('toStandardUrl path escaping', () => {
+  const v2 = (domainName?: string) => (rawPath: string) => ({
+    rawPath,
+    requestContext: { domainName, http: { method: 'GET' } },
+  })
+
+  const httpApiV2 = v2('id.execute-api.us-east-1.amazonaws.com')
+  const functionUrl = v2('url-id.lambda-url.us-east-1.on.aws')
+  const httpApiV1 = (path: string) => ({ version: '1.0', httpMethod: 'GET', path })
+  const restApi = (path: string) => ({ httpMethod: 'GET', path })
+
   // HTTP APIs deliver the path url-decoded, values observed on a live API Gateway HTTP API
-  const decoded: [rawPath: string, pathname: string][] = [
+  const decoded: [path: string, pathname: string][] = [
     ['/capture/space value', '/capture/space%20value'],
     ['/capture/hash#value', '/capture/hash%23value'],
     ['/capture/literal?value', '/capture/literal%3Fvalue'],
@@ -124,12 +136,20 @@ describe('toStandardUrl path escaping', () => {
       '/capture/quote"brace{}angle<>tick`caret^',
       '/capture/quote%22brace%7B%7Dangle%3C%3Etick%60caret%5E',
     ],
+    ['/capture/bracket[value]|pipe', '/capture/bracket%5Bvalue%5D%7Cpipe'],
     ['/capture/tab\tnewline\ndel\x7F', '/capture/tab%09newline%0Adel%7F'],
+    // a decoded `%` or `\` is data, `URL` must neither decode it again nor treat `\` as `/`
+    ['/capture/literal%value', '/capture/literal%25value'],
+    ['/capture/percent%25done', '/capture/percent%2525done'],
+    ['/capture/literal%2525value', '/capture/literal%252525value'],
+    // matched a `/public/{proxy+}` route, it must not resolve to `/secret`
+    ['/public/%2e%2e/secret', '/public/%252e%252e/secret'],
+    ['/public/x\\..\\..\\secret', '/public/x%5C..%5C..%5Csecret'],
     // encodeURIComponent throws URIError on a lone surrogate, it becomes U+FFFD instead
     ['/capture/lone\uD800surrogate', '/capture/lone%EF%BF%BDsurrogate'],
   ]
 
-  // REST APIs and Lambda Function URLs deliver the path still encoded, it must not be double-encoded,
+  // REST APIs, ALB and Lambda Function URLs deliver the path still encoded, it must not be double-encoded,
   // and characters `URL` leaves alone in a pathname stay as-is too
   const untouched = [
     '/capture/space%20value',
@@ -140,91 +160,86 @@ describe('toStandardUrl path escaping', () => {
     '/capture/literal%2525value',
     '/capture/unicode-%CE%BB-%E4%B8%96%E7%95%8C',
     '/capture/lower%2fcase',
+    '/public/%2e%2e/secret',
     "/AZaz09-._~!$&'()*+,;=:@",
     '/a[b]|c\\d',
     '/capture/literal%value',
   ]
 
-  describe('v2', () => {
-    it.each(decoded)('escapes decoded %s', (rawPath, pathname) => {
-      expect(toStandardUrl({ rawPath, requestContext: { http: { method: 'GET' } } })).toBe(pathname)
+  describe.each([
+    ['HTTP API (v2)', httpApiV2],
+    ['HTTP API (v1)', httpApiV1],
+  ] as const)('%s', (_, toEvent) => {
+    it.each(decoded)('escapes decoded %s', (path, pathname) => {
+      expect(toStandardUrl(toEvent(path))).toBe(pathname)
     })
 
-    it.each(untouched)('keeps %s as-is', (rawPath) => {
-      expect(toStandardUrl({ rawPath, requestContext: { http: { method: 'GET' } } })).toBe(rawPath)
-    })
+    it('decodes back to the delivered path exactly once', () => {
+      for (const [path] of decoded.filter(([path]) => !path.includes('\uD800'))) {
+        const url = new URL(toStandardUrl(toEvent(path)), 'http://localhost')
 
-    it('keeps the query string separate from a decoded ? or # in the path', () => {
-      expect(
-        toStandardUrl({
-          rawPath: '/orders#',
-          rawQueryString: 'tenant=acme',
-          requestContext: { http: { method: 'GET' } },
-        }),
-      ).toBe('/orders%23?tenant=acme')
-
-      expect(
-        toStandardUrl({
-          rawPath: '/users/me?admin=true',
-          rawQueryString: 'tenant=acme',
-          requestContext: { http: { method: 'GET' } },
-        }),
-      ).toBe('/users/me%3Fadmin=true?tenant=acme')
+        expect(safeDecodeURIComponent(url.pathname)).toBe(path)
+      }
     })
   })
 
-  describe('v1', () => {
-    it.each(decoded)('escapes decoded %s', (path, pathname) => {
-      expect(toStandardUrl({ httpMethod: 'GET', path })).toBe(pathname)
-    })
-
+  describe.each([
+    ['Lambda Function URL', functionUrl],
+    ['REST API', restApi],
+  ] as const)('%s', (_, toEvent) => {
     it.each(untouched)('keeps %s as-is', (path) => {
-      expect(toStandardUrl({ httpMethod: 'GET', path })).toBe(path)
+      expect(toStandardUrl(toEvent(path))).toBe(path)
     })
 
-    it('keeps the query string separate from a decoded ? or # in the path', () => {
-      expect(
-        toStandardUrl({
-          httpMethod: 'GET',
-          path: '/orders#',
-          queryStringParameters: { tenant: 'acme' },
-        }),
-      ).toBe('/orders%23?tenant=acme')
-
-      expect(
-        toStandardUrl({
-          httpMethod: 'GET',
-          path: '/users/me?admin=true',
-          queryStringParameters: { tenant: 'acme' },
-        }),
-      ).toBe('/users/me%3Fadmin=true?tenant=acme')
+    it('escapes like the URL pathname setter', () => {
+      // `^` is left out: it joined the path percent-encode set in 2023 and Node 20/22 still leave it as-is
+      for (const path of [
+        '/space value',
+        '/hash#value',
+        '/literal?value',
+        '/unicode-λ-世界',
+        '/quote"brace{}angle<>tick`',
+        '/a[b]|c',
+        '/literal%value',
+        '/%20%2F',
+        '/lone\uD800surrogate',
+      ]) {
+        const url = new URL('http://localhost')
+        url.pathname = path
+
+        expect(toStandardUrl(toEvent(path))).toBe(url.pathname)
+      }
     })
   })
 
-  it('escapes the same characters as the URL pathname setter', () => {
-    // `^` is left out: it joined the path percent-encode set in 2023 and Node 20/22 still leave it as-is
-    for (const path of [
-      '/space value',
-      '/hash#value',
-      '/literal?value',
-      '/unicode-λ-世界',
-      '/quote"brace{}angle<>tick`',
-      '/a[b]|c',
-      '/literal%value',
-      '/%20%2F',
-      '/lone\uD800surrogate',
-    ]) {
-      const url = new URL('http://localhost')
-      url.pathname = path
+  it('treats a v2 event as an HTTP API unless its domainName is a Function URL', () => {
+    expect(toStandardUrl(v2()('/a%2e%2e'))).toBe('/a%252e%252e')
+    expect(toStandardUrl(v2('url-id.lambda-url.example.com')('/a%2e%2e'))).toBe('/a%252e%252e')
+  })
 
-      expect(toStandardUrl({ httpMethod: 'GET', path })).toBe(url.pathname)
-    }
+  it('keeps the query string separate from a decoded ? or # in the path', () => {
+    expect(toStandardUrl({ ...httpApiV2('/orders#'), rawQueryString: 'tenant=acme' })).toBe(
+      '/orders%23?tenant=acme',
+    )
+    expect(
+      toStandardUrl({ ...httpApiV2('/users/me?admin=true'), rawQueryString: 'tenant=acme' }),
+    ).toBe('/users/me%3Fadmin=true?tenant=acme')
+
+    expect(
+      toStandardUrl({ ...httpApiV1('/orders#'), queryStringParameters: { tenant: 'acme' } }),
+    ).toBe('/orders%23?tenant=acme')
+    expect(
+      toStandardUrl({
+        ...httpApiV1('/users/me?admin=true'),
+        queryStringParameters: { tenant: 'acme' },
+      }),
+    ).toBe('/users/me%3Fadmin=true?tenant=acme')
   })
 
   it('adds a leading slash after escaping', () => {
-    expect(toStandardUrl({ httpMethod: 'GET', path: 'a b' })).toBe('/a%20b')
-    expect(toStandardUrl({ rawPath: 'a b', requestContext: { http: { method: 'GET' } } })).toBe(
-      '/a%20b',
-    )
+    expect(toStandardUrl(restApi('a b'))).toBe('/a%20b')
+    expect(toStandardUrl(httpApiV1('a%b'))).toBe('/a%25b')
+    expect(toStandardUrl(httpApiV2('a%b'))).toBe('/a%25b')
+    expect(toStandardUrl(functionUrl('a b'))).toBe('/a%20b')
   })
 })
diff --git a/packages/aws-lambda/src/url.ts b/packages/aws-lambda/src/url.ts
index 0bf6f54..11ea6d9 100644
--- a/packages/aws-lambda/src/url.ts
+++ b/packages/aws-lambda/src/url.ts
@@ -3,8 +3,16 @@ import { safeEncodeURIComponent } from '@standard-server/shared'
 
 import type { AnyAPIGatewayProxyEvent } from './types'
 
+// the WHATWG path percent-encode set, characters that can never appear literally in an encoded path
 const UNENCODED_PATH_CHAR_RE = /[\0-\x20"#<>?^`{}\x7F-\u{10FFFF}]/gu
 
+// anything but an RFC 3986 path character, a decoded path carries `%`, `\`, `?`, ... as data: left as-is,
+// `URL` would decode `%2e%2e` again into a dot segment or treat `\` as `/`, resolving segments API Gateway never routed on
+const DECODED_PATH_CHAR_RE = /[^A-Za-z0-9\-._~!$&'()*+,;=:@/]/gu
+
+// anchored, so an HTTP API custom domain cannot pass for a Lambda Function URL
+const FUNCTION_URL_DOMAIN_RE = /\.lambda-url\.[a-z0-9-]+\.on\.aws$/
+
 /**
  * Build a standard url from an API Gateway proxy event.
  *
@@ -13,12 +21,16 @@ const UNENCODED_PATH_CHAR_RE = /[\0-\x20"#<>?^`{}\x7F-\u{10FFFF}]/gu
  */
 export function toStandardUrl(event: AnyAPIGatewayProxyEvent): StandardUrl {
   if (!('httpMethod' in event)) {
-    const pathname = toPathname(event.rawPath)
+    // HTTP APIs deliver `rawPath` url-decoded, Lambda Function URLs still encoded
+    const isDecoded = !FUNCTION_URL_DOMAIN_RE.test(event.requestContext.domainName ?? '')
+    const pathname = toPathname(event.rawPath, isDecoded)
 
     return event.rawQueryString ? `${pathname}?${event.rawQueryString}` : pathname
   }
 
-  const pathname = toPathname(event.path)
+  // only HTTP APIs set `version` and deliver `path` url-decoded, REST APIs and ALB still encoded,
+  // decoded is inferred from 2.0 captures: wrongly escaping costs a double-encoding, not escaping a traversal
+  const pathname = toPathname(event.path, event.version === '1.0')
 
   const query = new URLSearchParams()
 
@@ -47,8 +59,11 @@ export function toStandardUrl(event: AnyAPIGatewayProxyEvent): StandardUrl {
   return search === '' ? pathname : `${pathname}?${search}`
 }
 
-function toPathname(path: string): `/${string}` {
-  const encoded = path.replace(UNENCODED_PATH_CHAR_RE, safeEncodeURIComponent)
+function toPathname(path: string, isDecoded: boolean): `/${string}` {
+  const encoded = path.replace(
+    isDecoded ? DECODED_PATH_CHAR_RE : UNENCODED_PATH_CHAR_RE,
+    safeEncodeURIComponent,
+  )
 
   return encoded.startsWith('/') ? (encoded as `/${string}`) : `/${encoded}`
 }