Just copied a list of some of the trophies from the game. Though you can't get all of the single player trophies in multiplayer, it is possible to get all of the multiplayer trophies playing single player. I thought this was a pretty smart way to satisfy both types of players.
Tour of Duty (Bronze)
Almost There (Bronze)
Peak Condition (Bronze)
very interesting approach I must say..don't think i have seen this being done before. I think there should be one-two MP related trophies though..nothing hard to get but to encourage players to try out the modes at least once.
"This world is Merciless, and it's also very beautiful"