But compatriots Naomi Broady and Katie Swan lost in the women's tournament.
British number three Broady went down 7-5 6-4 to New Zealander Marina Erakovic.
Teenager Swan, the world number 338, was beaten 6-3 6-3 by a player ranked more than 250 places above her, Risa Ozaki of Japan.
Britain's Aljaz Bedene came through the first round of qualifying at the Miami Open with a 6-4 6-3 victory over Federico Gaio of Italy.