The 97th-ranked Cohen-Aloro breezed through the first set, then broke Cornet's serve in the second game of the second set and held serve the rest of the way to wrap up the match.
Also, second-seeded Flavia Pennetta beat Petra Kvitova 6-3, 6-3 and Roberta Vinci topped Pauline Parmentier 6-4, 7-6 (7).
Nearly a week after upsetting top-ranked Serena Williams in Andalucia, Klara Zakopalova lost 6-1, 7-6 (7) to Magdalena Rybarikova.
Top-seeded Cornet loses in first round in Spain
Week 3 marked by hats, cards, surprises
Top-seeded Cornet loses in first round in Spain
