Pass the render process id to the FrameNavigationState.

chrome/test/data/extensions/api_test/webnavigation/test_getFrame.html

 <script>
 var URL = chrome.extension.getURL("getFrame/a.html");
 var tabId = -1;
+var processId = -1;
 
 chrome.test.runTests([
   function testGetFrame() {
     chrome.tabs.create({"url": "about:blank"}, function(tab) {
       tabId = tab.id;
       var done = chrome.test.listenForever(
         chrome.webNavigation.onBeforeNavigate,
         function (details) {
           if (details.tabId != tabId)
             return;
           if (details.url != URL)
             return;
+          processId = details.processId;
           chrome.webNavigation.getFrame(
-              {tabId: tabId, frameId: 0},
+              {tabId: tabId, frameId: 0, processId: processId},
               function(details) {
             chrome.test.assertEq({errorOccurred: false, url: URL},
                                  details);
             done();
           });
       });
       chrome.tabs.update(tabId, {url: URL});
     });
   },
 
   function testGetInvalidFrame() {
     chrome.webNavigation.getFrame(
-        {tabId: tabId, frameId: 1},
+        {tabId: tabId, frameId: 1, processId: processId},
       function (details) {
         chrome.test.assertEq(null, details);
         chrome.test.succeed();
     });
   },
 
   function testGetAllFrames() {
     chrome.webNavigation.getAllFrames(
         {tabId: tabId},
       function (details) {
-        chrome.test.assertEq([{errorOccurred: false, frameId: 0, url: URL}],
-                             details);
+        chrome.test.assertEq(
+            [{errorOccurred: false,
+              frameId: 0,
+              processId: processId,
+              url: URL}],
+             details);
         chrome.test.succeed();
     });
   }
 ]);
 </script>