Brandon Nakashima faced Zachary Svajda in the first round and recorded a 7-6, 7-6 (7-5) victory.
On Wednesday, Reilly Opelka, rated 17th in the world, will play Denis Kudla, an 82nd-ranked American, in the second round of the 2022 ATP Citi Open.
The 46-time tour-level champion dropped the first three games of the match, but eventually regained his stride.
Murray had not won at home since winning the ATP Finals six years ago, and the wait will continue after he was defeated by American Denis Kudla 5-7, 7-6 (5), 6-3.
Rafael Nadal began his Mexican Open campaign with a 6-3, 6-2 win over Denis Kudla in the first round at Acapulco.
The World No.1 saved a set point in the third set to see off Denis Kudla’s challenge, whereas Rublev had a tough fight against Fabio Fognini.