Tom missed the second half of last season due to a wrist injury and has won just one set in six matches since returning to the ATP Challenger Tour in Marbella in March.
The last defeat of the US Open 2020 champion came from Mark Chequinato, who won 6-3 6-4 and advanced to the second round on Tuesday (AEST).
Austrian Tim, who twice took second place at Roland Garros, will go to Paris, trying to get back in shape after such a long absence.
Chequinato has lost in all 11 matches this year, but won three in Geneva without losing a single set, going through qualifying, and will now face Camille Mayhrzak.
Federico Delbonis, who is number seven, beat Ricardos Berankis 6-4 6-4, and the French duo of Richard Gasquet and Benoit Peir, along with Ilya Ivashko, made it to the 1/8 finals.
Jo-Wilfried Tsonga, who will retire after the French Open, will not be a fabulous victory at the Lyon Open after a 6-4 6-4 defeat by Alex Molcan.
Eighth seeded Pedro Martinez was knocked out by Yosuke Watanuki in the first round, but Karen Khachanov beat Gilles Simon 6-1 6-4, and Lucas Puy was also beaten at home, losing to Oscar Otte.
https://www.beinsports.com/au/atp-tour/news/thiem-loses-sixth-match-in-a-row-after-geneva/1883580