There was no actual treaty of Paris in 1763. However, there was a treaty of Paris in 1763 that marked the end of the 7 Years War between France, England, and Spain. There was also a treaty of Paris in 1783 that marked the end of the American Revolution against England.
In the treaty with Spain, the territories of East and West Florida were ceded to Spain (without a clear northern boundary, resulting in a territorial dispute resolved by the Treaty of Madrid in 1795), as was the island of Minorca.
On behalf of Spain's request, the French ambassador in Washington DC was asked by Spain to help arrange a peace treaty to end the Spanish - American War. The treaty, signed in Paris was called the Treaty of Paris.