Vinci got by Giulia Gatto-Monticone 7-6 (8-6), 6-3 in a match that saw 13 breaks in 21 games. Each player had four breaks in the first set, which Vinci took in the tiebreaker. Vinci had a 3-2 edge in breaks in the second set.
Neither player won more than half the points when serving.
No. 5-seeded Lourdes Dominguez Lino advanced when Alexandra Dulgheru retired trailing 1-5.
Renata Voracova ousted sixth-seeded Irina-Camelia Begu 6-5, 6-2 and Dinah Pfizenmaier got by No. 8-seeded Karolina Pliskova 7-5, 7-5.
Mirjana Lucic-Baroni stopped Mariana Duque-Marino 6-3, 6-3; Karin Knapp defeated Teliana Pereira 6-3, 6-2; Anabel Medina Garrigues got past Kristina Barrois 6-4, 4-6, 6-2; Estrella Cabeza Candela topped Alice Matteucci 6-4, 6-1; Polona Hercog beat Eva Birnerova 6-4, 6-1; and Nastassja ousted Burnett Maryna Zanevska 6-0, 7-5 in other first-round results Tuesday.
Dennis Rodman pledges to end trips to North Korea
Teacher apologizes for showing sexual image of herself in class