"This is an historic event for me, I'm working to be ready".
Both have been struggling with elbow injuries, but world number one Murray proved his fitness during a recent exhibition with Roger Federer in the Swiss city of Zurich.
Murray, who has recovered in time from an elbow injury, will take on Gilles Muller or Tommy Robredo in the opening clash and is expected to face Marin Cilic or Tomas Berdych in the quarters before a possible semi-final meeting against third seed Wawrinka, who will open his campaign either against Vesely or Mischa Zverev. My elbow has reacted well, so I feel good about it. I had never played that much tennis and didn't know exactly what the right thing to do. I feel fine now, even if the start of the year was a bit tough.
Murray would end up winning Dubai, but he fell early in Indian Wells before injury forced him out of Miami. It marks the return of the world's top two players, Novak Djokovic and Andy Murray.
But Murray's success from this stage of the season onwards 12 months ago means he has a huge amount of points to defend over the coming months, while he is more than 3,000 points adrift of Roger Federer in the yearly standings.
"We're playing in one of the most handsome cities on the tour and I've had a few good runs here over the years, but it's the one Masters 1000 final that I haven't reached".
'There's maybe some things I would have done a little bit differently, ' he said. "I really enjoy my food, but I'm a terrible cook unfortunately".
"Obviously I have some work to do to push myself back up in the rankings again this year".
Dan Evans and Kyle Edmund, British number two and three respectively, play each other for the first time on the ATP Tour in the first round on Monday.
The grounds overlook the Mediterranean, with views of the Monte-Carlo Beach and the Monte-Carlo Bay Hotel & Resort.