If there's no Franco-Russian War during the Napoleonic Wars (which implies that Russia abides by the Treaties of Tilsit and so does not leave the Continental System), then Napoleon will probably emerge as the dominant power in the majority of Continental Europe.
Russia, however, will still be a force to bear in mind. It's vast, increasingly populated realm that has never been beaten by Napoleon and has its own territorial ambitions in Europe.
I say that once the British sue for peace (or however Napoleon neutralizes them), France and Russia go about carving up the Ottoman Empire. After that's done, then things get frosty.
You'll see at the very least a two-way cold war in Europe, with Britain either being the third power or (depending how badly they're humbled by Napoleon) throw in their lot with Russia to create a sort of anti-French entente.
Chances are that, once Napo kicks the bucket, things in Europe will start getting dicey. Russia's going to start grumbling about the Duchy of Warsaw, Britain's going to grow more adventuresome, French-occupied Tuscany might kick up a fuss, Prussia might start quietly pursuing an agenda aimed at usurping the Confederation of the Rhine as the German hegemon. Expect the Iberian ulcer to start bleeding again, too.
The only place that might not immediately try to seize upon France's percieved weakness under Napoleon II (who history tells us was a sickly, thoroughly unimpressive chap) is Austria, and that's purely due to dynastic ties with the Bonopartes. But again, expect that to dissolve quickly once Austria spies a chance to get back Dalmatia and reassert its powrer in Italy.
I don't know, just some ideas. Bear in mind, though, that this situation probably would only occur if Russia is left as a force in Europe. If Napoleon manages to defeat Russia, then you'll probably see a much stonger, much more lasting French dominance over Europe.