The Warriors concluded their season with five consecutive defeats with head coach Danny Wilson losing his job as a result.
Thompson made an impressive start to the URC campaign before his own form dipped as Warriors struggled to maintain their early momentum.
"For me personally it's about looking to bounce back from a difficult end to the season and play as much rugby as possible out here," he said, speaking ahead of Saturday's 'A' team match against Chile in Santiago.
"It's been an up-and-down season for me. We started the season well at Glasgow but didn't finish it as well as we would have liked. Personally, I think it was the same for me.
"I didn't feel I performed as well towards the end of the season. so I feel lucky to have got this opportunity to try and make amends for that and get some good rugby in towards the end of this season and look ahead to next season."
Thompson made his Scotland debut against Tonga at Murrayfield at the end of October last year and is hopeful of adding to his solitary cap over the next few weeks. The Scots face three Tests against Argentina after this weekend's outing in Chile.