diff --git a/guix/import/pypi.scm b/guix/import/pypi.scm
index ed0d4297a4..1e433e3fb3 100644
--- a/guix/import/pypi.scm
+++ b/guix/import/pypi.scm
@@ -1,7 +1,7 @@
 ;;; GNU Guix --- Functional package management for GNU
 ;;; Copyright © 2014 David Thompson <davet@gnu.org>
 ;;; Copyright © 2015 Cyril Roelandt <tipecaml@gmail.com>
-;;; Copyright © 2015, 2016 Ludovic Courtès <ludo@gnu.org>
+;;; Copyright © 2015, 2016, 2017 Ludovic Courtès <ludo@gnu.org>
 ;;;
 ;;; This file is part of GNU Guix.
 ;;;
@@ -89,9 +89,16 @@ package."
 (define (guix-package->pypi-name package)
   "Given a Python PACKAGE built from pypi.python.org, return the name of the
 package on PyPI."
-  (let ((source-url (and=> (package-source package) origin-uri)))
+  (define (url->pypi-name url)
     (hyphen-package-name->name+version
-     (basename (file-sans-extension source-url)))))
+     (basename (file-sans-extension url))))
+
+  (match (and=> (package-source package) origin-uri)
+    ((? string? url)
+     (url->pypi-name url))
+    ((lst ...)
+     (any url->pypi-name lst))
+    (#f #f)))
 
 (define (wheel-url->extracted-directory wheel-url)
   (match (string-split (basename wheel-url) #\-)
diff --git a/tests/pypi.scm b/tests/pypi.scm
index 447c23ee95..a132900566 100644
--- a/tests/pypi.scm
+++ b/tests/pypi.scm
@@ -22,6 +22,7 @@
   #:use-module (guix base32)
   #:use-module (guix hash)
   #:use-module (guix tests)
+  #:use-module (guix build-system python)
   #:use-module ((guix build utils) #:select (delete-file-recursively which))
   #:use-module (srfi srfi-64)
   #:use-module (ice-9 match))
@@ -90,6 +91,15 @@ baz > 13.37")
                            (uri
                             "https://pypi.python.org/packages/a2/3b/4756e6a0ceb14e084042a2a65c615d68d25621c6fd446d0fc10d14c4ce7d/certbot-0.8.1.tar.gz"))))))
 
+(test-equal "guix-package->pypi-name, several URLs"
+  "cram"
+  (guix-package->pypi-name
+   (dummy-package "foo"
+                  (source
+                   (dummy-origin
+                    (uri (list "https://bitheap.org/cram/cram-0.7.tar.gz"
+                               (pypi-uri "cram" "0.7"))))))))
+
 (test-assert "pypi->guix-package"
   ;; Replace network resources with sample data.
     (mock ((guix import utils) url-fetch