The Sun claims that Uefa are looking into the tweets. Players are prohibited from participating in any sort of betting activity related to Uefa competitions.
Wilshere tweeted suggesting he would bet on team-mate Emmanuel Frimpong to score first, but claims the messages were a joke.
"[Frimpong] first goal is 150-1... worth a cheeky £10 right?" Wilshere said in a tweet that has since been deleted.
"Frimmy nearly won me some money there!" he added when Frimpong hit the side netting during the match.
After the match Wilshere looked to clarify his comments, insisting they were made only in jest.
"I didn't actually bet on the game. I know we're not allowed to! I was only messing #justtobeclear," he said.
That will not stop Uefa from probing the matter more closely, according to the report.
"All persons bound by Uefa's rules must refrain from any behaviour that could damage the integrity of matches and competitions," a Uefa spokesman was quoted as saying.
"A breach of these principles is committed by anyone who participates directly or indirectly in betting or who has a financial interest in such activities."
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