Played in warm conditions with a breeze across the court both players held serve in the opening games of the final set before Erakovic was broken and then Vesnina ranked at 56 in the world compared to Erakovic's 82 traded service holds until 4-2 to the Russian.
Erakovic then served a double fault to give Vesnina a 5-2 lead before breaking her opponents serve to love which was perhaps an indication of the match, one moment a high and the next a low.
Erakovic was able to add one more game to her tally before Vesnina wrapped up the contest 6-4 in the final sets. Erakovic had been hoping to continue her run at the tournament where she beat former champ Svetlana Kuznetsova in the first round, her first singles victory at the US Open.
"It's definitely a tough one today. I had my chances but also gave myself a chance. It's a learning curve. In the last three or four years I don't think I've been as well in the mental game."
In the doubles Mike Venus secured a win with his partner Mikhail Kukushkin of Kazakhstan 6-2 3-0 retired over Spain's Feliciano Lopez and Juan Monaco. The later retiring with a wrist injury.
"It would have been great to finish the game, but it was just good to win. We started out tentative but played better the more were out there," said Venus who has now competed in all four Grand Slams in doubles this year.
The now play the Italian pair of Daniele Bracciali and Andreas Seppi.
