The match between the two finished 6-3, 7-6 in Lara's favour as the Czech had to concede an early defeat at India's only ATP 250 World Tour event.
The 24-year-old Spaniard had qualified for the main draw after winning two matches in the qualifiers and looked like the in-form player as he won the first set comfortably.
Vesely tried to bounce back in the second set, but Lara ran away with a surprise victory.
However, seventh-seeded Mikhail Kukushkin did not let Moldova's Radu Albot also cause an upset as he defeated the latter 6-2, 7-6.
Albot got the backing of the crowd, but could not match the efficiency of world no.74 Kukushkin as the player from Kazakhstan took the first set 6-2.
In the second set, Albot tried to put up a fight but Kukushkin utilised his experience to wrap up the match.
Eighth-seeded Pierre-Hugues Herbert won his first round match in three sets as he beat Italy's Marco Cecchinato 7-6, 6-7, 6-2 to advance into the next round.
World no.85 Marton Fucsovics defeated Nicolas Kicker in straight sets 6-0, 6-3 to advance to the second round.
The Hungarian produced some exciting tennis to open his campaign in Pune as Kicker looked rusty, winning only 44% on his first service and conceded the loss to the higher-ranked Fucsovics.
Chile's Nicolas Jarry also advanced to the second round after beating Spain's Pablo Andujar in three sets 6-7, 6-4, 7-5.
In the men's doubles category, the Indian pair of N. Sriram Balaji and Vishnu Vardhan lost to the British-Canadian team of Neal Skupski and Adil Shamasdin 3-6, 7-6, 10-6.
Balaji and Vardhan were backed by the crowd at the centre court, winning the first set comfortably.
However, in a close second set, Skupski and Shamasdin beat the Indian pair after the tie-break.
In the third set, Balaji and Vardhan seemed to have lost momentum which resulted in them losing out in the tie-break again.
(This story has not been edited by Social News XYZ staff and is auto-generated from a syndicated feed.)
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