The India number one singles player lost 2-6 7-5 5-7 to Ukraine's Sofiya Kovalets yesterday.
Ankita saved a break point in the third game of the opening set but lost the second one to trail 1-2 but broke back immediately, latching on to the first chance in the next game.
The two players struggled with their serve and Ankita again handed a break to her rival in the fifth game. Sofiya held her own to make it a comfortable 4-2 lead and ran away with the first set with another break.
Soon she found herself in trouble again as she was down by two match points at 15-40 but saved both in the 10th game to level the set and broke Sofiya in the 12th to draw parity in the match.
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Despite having the momentum, Ankita began the third set by dropping her serve and was soon trailing 0-3, having lost her serve in the third game as well.
There was another twist in the tale as Ankita won the next three games to make it 3-all but dropped serve in the seventh game to again provide a small window to Sofiya.
The Ukrainian finally closed the gruelling contest by converting her third match point.