Meister has a career high ATP singles ranking of 263 achieved on June 13, 2016.

Meister made his ATP main draw debut at the 2012 Farmers Classic where he qualified for the main draw, defeating Ilija Bozoljac, Rik de Voest and Jimmy Wang in the qualifying rounds.

He was also given a wildcard into the doubles event partnering Marcos Giron, where they lost in the first round to Rajeev Ram and Michael Russell in straight sets.

Four years later, Meister made his Grand Slam debut when he received a wildcard entry into the 2016 US Open Men's Doubles tournament alongside countryman Eric Quigley.

They were defeated in the first round by eventual quarter-finalists Łukasz Kubot and Alexander Peya.