The Seven Years' War is far, far too late to have a French-dominated North America. By that stage the British population advantage was so great that the French considered it a victory if they simply kept the lands they already had. If they won the Seven Years' War the French could perhaps have kept all they had, but there would be another war later, and then another, and eventually they'd lose it. By that point the demographic pressure of Anglo-American expansion was too strong to resist, by Paris and, as it turned out, London too.
I would argue that for the French to dominate North America you need a PoD before Great Britain even exists. Basically, sometime in the early to mid-17th century in the era of Franco-Anglo-Dutch conflicts (in various combinations), the English should lose one of their big groups of colonies (either New England or the South, the latter being basically Virginia + a bit extra at the point in time we're speaking of) to the French; at a point in time when there are only ~10,000 English people in each of those regions, it could reasonably be subdued (though still leaving a Quebec-style population behind whih, judging by how few people Quebec had when it was conquered, would have ballooned into a population vastly larger than Quebec's by the modern day). Having such temperate land could plausibly be argued to change the French colonisation strategy to something more like the English one, with mass white settlement and betraying Native Americans in order to take their land more frequently, then moving on to the next treaty which in due course would be broken once the settlers wanted to move further west. That would prevent there from being nominal control over vast swathes of the interior (via Native American alliances), as OTL France enjoyed, but it would create a far more deeply-rooted and longer-lasting French colonial presence in North America. With that, one can imagine the French establishing a dominance in North America as great as the British achieved in OTL, though there would be an inconvenietn Anglophone population much larger than the OTL Francophone population.
As for Europe, that's quite a lot easier. The English/British got ridiculously lucky in several wars. Even as late as the American Revolutionary War there could have been a successful French invasion of Great Britain if the British were less lucky; just lose a few big naval battles and that's all that is required. With most of the big European wars in the 18th century coming down to France vs Great Britain, this should suffice to grant France victory there; it's not much of a stretch for the French army to do well in Germany. As for India, the British East India Company can hardly break away, due to its dependence on the metropole; if Great Britain is invaded and the French are sitting in London the British will be only too eager to make concessions to France in India for the sake of the preservation of the security of the British homeland.
Combine these ideas and you have a France that is dominant in North America, India and Europe. This France then faces the problem that OTL Great Britain faced, which is how to keep such dominance after acquiring it; the French North American colonists may not stay loyal forever, and other European powers will be as terrified of utter French hegemony as they were terrified of utter British hegemony in OTL. But I hope this ramble has been vaguely in line with the intentions of the OP.