diff --git a/src/Giraffe/Core.fs b/src/Giraffe/Core.fs
index 06e6413f..2e66e9f6 100644
--- a/src/Giraffe/Core.fs
+++ b/src/Giraffe/Core.fs
@@ -7,6 +7,7 @@ module Core =
     open System.Globalization
     open Microsoft.AspNetCore.Http
     open Microsoft.Extensions.Logging
+    open Microsoft.Net.Http.Headers
     open Giraffe.ViewEngine
 
     /// <summary>
@@ -227,11 +228,13 @@ module Core =
     /// <param name="ctx"></param>
     /// <returns>A Giraffe <see cref="HttpHandler"/> function which can be composed into a bigger web application.</returns>
     let mustAccept (mimeTypes : string list) : HttpHandler =
+        let acceptedMimeTypes : MediaTypeHeaderValue list = mimeTypes |> List.map (MediaTypeHeaderValue.Parse)
         fun (next : HttpFunc) (ctx : HttpContext) ->
             let headers = ctx.Request.GetTypedHeaders()
             headers.Accept
-            |> Seq.map    (fun h -> h.ToString())
-            |> Seq.exists (fun h -> mimeTypes |> Seq.contains h)
+            |> Seq.exists (fun h ->
+                acceptedMimeTypes
+                |> List.exists (fun amt -> amt.IsSubsetOf(h)))
             |> function
                 | true  -> next ctx
                 | false -> skipPipeline
diff --git a/tests/Giraffe.Tests/HttpHandlerTests.fs b/tests/Giraffe.Tests/HttpHandlerTests.fs
index 054398d6..4a5d5695 100644
--- a/tests/Giraffe.Tests/HttpHandlerTests.fs
+++ b/tests/Giraffe.Tests/HttpHandlerTests.fs
@@ -381,6 +381,68 @@ let ``POST "/either" with unsupported Accept header returns 404 "Not found"`` ()
             Assert.Equal(404, ctx.Response.StatusCode)
     }
 
+[<Fact>]
+let ``POST with "all-medias" header type returns the first available route`` () =
+    /// Reference: https://datatracker.ietf.org/doc/html/rfc7231#section-5.3.2
+    let ctx = Substitute.For<HttpContext>()
+    let app =
+        choose [
+            POST >=> choose [
+                route "/any" >=> mustAccept [ "text/plain" ] >=> text "first route"
+                route "/any" >=> mustAccept [ "application/json" ] >=> json "second route"
+                route "/any" >=> mustAccept [ "text/plain"; "application/json" ] >=> text "third route" ]
+            setStatusCode 404 >=> text "Not found" ]
+        
+    let headers = HeaderDictionary()
+    headers.Add("Accept", StringValues("*/*"))
+    ctx.Request.Method.ReturnsForAnyArgs "POST" |> ignore
+    ctx.Request.Path.ReturnsForAnyArgs (PathString("/any")) |> ignore
+    ctx.Request.Headers.ReturnsForAnyArgs(headers) |> ignore
+    ctx.Response.Body <- new MemoryStream()
+    let expected = "first route"
+
+    task {
+        let! result = app next ctx
+
+        match result with
+        | None -> assertFail $"Result was expected to be %s{expected}"
+        | Some ctx ->
+            let body = getBody ctx
+            Assert.Equal(expected, body)
+            Assert.Equal("text/plain; charset=utf-8", ctx.Response |> getContentType)
+    }
+        
+[<Fact>]
+let ``POST with an accept header type containing a fuzzy type and concrete subtype returns the first matching route`` () =
+    /// Reference: https://datatracker.ietf.org/doc/html/rfc7231#section-5.3.2
+    let ctx = Substitute.For<HttpContext>()
+    let app =
+        choose [
+            POST >=> choose [
+                route "/any" >=> mustAccept [ "text/plain" ] >=> text "first route"
+                route "/any" >=> mustAccept [ "application/xml" ] >=> text "<test>second route</test>"
+                route "/any" >=> mustAccept [ "text/plain"; "application/json" ] >=> text "third route" ]
+            setStatusCode 404 >=> text "Not found" ]
+        
+    let headers = HeaderDictionary()
+    headers.Add("Accept", StringValues("application/*"))
+    ctx.Request.Method.ReturnsForAnyArgs "POST" |> ignore
+    ctx.Request.Path.ReturnsForAnyArgs (PathString("/any")) |> ignore
+    ctx.Request.Headers.ReturnsForAnyArgs(headers) |> ignore
+    ctx.Response.Body <- new MemoryStream()
+    let expected = "<test>second route</test>"
+
+    task {
+        let! result = app next ctx
+
+        match result with
+        | None -> assertFail $"Result was expected to be %s{expected}"
+        | Some ctx ->
+            let body = getBody ctx
+            Assert.Equal(expected, body)
+            Assert.Equal("text/plain; charset=utf-8", ctx.Response |> getContentType)
+    }
+
 [<Fact>]
 let ``GET "/person" returns rendered HTML view`` () =
     let ctx = Substitute.For<HttpContext>()