The Swedish star got into trouble on his very first hole, when he hit his second shot into the water and made his first double bogey.
Åberg got his revenge with three birdies before making double bogey again on his eighth hole of the day.
Despite a total of six birdies, he finished the round at par, which leaves him in a modest 81st place.
Albin Bergström is the best Swede after the first round, after finishing at -3.
American Michael Kim leads at -8. This week's competition is being played at Le Golf National, the course that hosted both the 2018 Ryder Cup and the 2024 Olympics.
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