Vinci will face American Venus Williams, who downed ninth-seed Mona Barthel 7-6 (7-4), 6-4, in a quarterfinal match Friday.
In other second-round matches, Monica Niculescu beat second-seeded Julia Jankovic 6-4, 6-2; German Andrea Petkovic defeated No. 3 Jelena Jankovic 7-5, 6-0; Ksenia Pervak downed No. 6 Sorana Cirstea 7-6 (7-4), 6-4 and Daniela Hantuchova bested Kirsten Flipkens, 6-4, 4-6, 6-2 at Luxembourg's CK Sportcenter Kockelscheuer.
Petkovic meets Pervak, Lordes Dominguez Lino faces off against Hantuchova and Lucie Hradecka plays Niculescu in Friday's other quarterfinal matches.
Boston schools pull out free condoms over wrapping complaints
NBC reportedly holds celebs hostage to Jimmy Fallon's show