The conflict in North America known as the 'French and Indian War', which began in 1754, helped trigger a larger conflict, the Seven Years' War, which was waged in Europe and India between 1756 and 1763. This answer by a deleted user gives a good potted summary focussed on the lead-up to war on the part of Frederick II of Prussia, to explain the continental side of the affair.

An oversimplified view of the war in Europe, which was fought on a far greater scale (in terms of numbers anyway) than North America, would have it that Britain basically funded Prussia as a proxy to fight Austria, Russia, and France. However, Britain and France did also make moves directly against each other. The naval campaigns, which naturally drew in more attention given the higher prestige of the Royal Navy compared to the British Army, ended up being the cause of of both fame and infamy. The major highlight for Britain was the Battle of Quiberon Bay off the coast of France on 20 November 1759, in which the French lost 7 of 21 ships of the line and were forced to shelve any plans of direct operations against the British Isles – one of many victories that marked the annus mirabilis of 1759 ('wonderful year') for the British war effort. (For more on Quiberon, see this answer by /u/jschooltiger). However, the British were not exclusively victorious at sea. Earlier in the conflict, the failure of Admiral John Byng to relieve the siege of Minorca in the Mediterranean in 1756 had led to his being executed for failing to do the utmost against the enemy.

The naval campaigns certainly managed to end in a pretty unequivocal win for the British, but it is worth noting that not all the naval action was purely at sea. The British performed a bit more unevenly in a series of amphibious raiding campaigns in northern France (the 'Descents') between 1757 and 1758 targeting major civilian shipping ports that were also used as privateer bases – in particular Rochefort, Saint-Malo, and Cherbourg. The attempt against Rochefort in September 1757 ended in defeat, and the British failed to capture Saint-Malo outright in June 1758, though they did destroy a substantial amount of shipping. The Cherbourg raid in August 1758 was the most successful, concluding with the demolition of the city's fortifications and the burning of the ships in harbour, but an attempt by the same expeditionary force to attack Saint-Malo in September ended in near-disaster when the badly-outnumbered British force was attacked in the middle of re-embarking, making it the last 'descent' on continental France.

That is not to say, however, that there was no other Anglo-French engagement in continental Europe. The Duchy of Hannover, in personal union with Britain under King George II, was a combatant on the British side, along with the German states of Hessen-Cassel, Braunschweig-Wolfenbüttel, and Schaumburg-Lippe, and so British troops were sent to Germany to support these states against France. Under the overall command of Duke Ferdinand of Braunschweig-Wolfenbüttel, the Anglo-German troops in northwest Germany largely won out over the French, with their major successes being at the battles of Minden in 1759 (another victory of the annus mirabilis), Villingshausen in 1761, and Wilhelmsthal in 1762. These campaigns are not hugely prominent in the popular imagining of the war, although they do feature briefly in Stanley Kubrick's film Barry Lyndon if you've ever seen that, or intend to.

But it is important to note that the Seven Years' War was not just fought in Europe and continental North America. The cementing of British naval dominance led to significant inroads in the Caribbean, where the British captured Guadeloupe (1759 – yep, annus mirabilis again), Dominica (1761), and Martinique (1762) (though only Dominica would be annexed under the Treaty of Paris). In India, the concurrent Third Carnatic War pitted Britain and its allies against France and its allies, and saw a decisive British victory at Plassey in 1757 which would ultimately all but ensure British dominance on the subcontinent; they then managed to fend off French attempts to capture Madras, beginning with the relief of a French siege in, you guessed it, 1759. And, in West Africa, the British captured Senegal from France in 1758.

Your question asks about France, but a full appreciation of the global scope of the Seven Years' War would also require consideration of the Anglo-Spanish campaigns, which were waged not just on the shores of Europe, but also in the Philippines, the Caribbean, and South America.

In short, Britain and France not only fought in Europe, but also drew in a number of other countries, and also fought across the globe.

Sources, Notes, and References

• Daniel Baugh, The Global Seven Years’ War, 1754-1763 (2011) – Note that this mainly covers Britain and France.

• Mark Danley, Patrick Speelman (eds.), The Seven Years' War: Global Views (2012)

• Jonathan Dull, The French Navy and the Seven Years' War (2005)