The Australian Open champion looked to be cruising toward victory when leading 4-1 in the second set but allowed Falconi to break twice and keep her chances alive. Azarenka wouldn't allow a comeback, however, converting her second match point when Falconi netted a forehand return.
Azarenka reached the semifinals at Wimbledon last year before losing to eventual champion Petra Kvitova, while Falconi lost in the first round for the second year in a row.
