McHale, who has beaten a handful of top players and grand slam winners in her career, will be an overwhelming underdog against Williams, who has a record eight Miami titles, including the last three.
The two were supposed to meet last year in Rome but Williams withdrew ahead of their match and gave McHale a walkover into the quarter-finals.
In other first-round action, Frenchwoman Alize Cornet beat Galina Voskoboeva of Kazakhstan to set up a match with third-seeded Pole Agnieszka Radwanska, while Germany's Julia Goerges beat Japan's Nao Hibino and will next play Australian Samantha Stosur.
(Reporting by Frank Pingue in Toronto; Editing by Larry Fine)
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