Translate the following English sentence to French:
"Each of the parties - and the American mediator, who is playing his part to the full - has an interest in reaching an agreement and is determined, I have no doubt, to do everything to bring one about."
Chacune des parties - et le médiateur américain, qui joue tout son rôle a, en effet, intérêt à un accord - est déterminée, j'en ai la conviction, à tout faire pour y parvenir.