However, Panova fought back and served out the first set at love after Vinci netted a forehand.
Panova continued to dominate and held three match points at 5-2 in the second set. But with teammates Flavia Pennetta and Karin Knapp furiously urging her on, Vinci managed to avoid being broken for a sixth successive time.
That sparked the turnaround, as the Italian won the next seven games
But the 136th-ranked Panova again fought back and had another match point at 5-4 in the final set but hit a backhand wide.
Vinci wasted her first match point when she hit a forehand long but secured the victory when Panova put a backhand volley wide, leaving the Italian in tears of joy.
Seventh-ranked Sara Errani faced 18-year-old Irina Khromacheva in the second singles match.