Shang-Chi is trying to recover his half-sister who is a mutant (think Green Lantern constructs except using a flute) while Wolverine is trying to convince her to go to Krakoa. They come to blows. Neither are going all out, but they aren't taking it really easy either. In the end, Shang-Chi clearly wins on points after he almost defeats Wolverine by accident - kicking Logan harder than he meant to and has to save Wolverine from falling off a cliff.
Sabre and Dagger didn't have much impact on the fight. At one point, they were even a distraction for Shang-Chi as he had to turn his back on Wolverine to stop them from entering the fight, and he was only just able to turn back around in time to stop an attack from Logan.