"I believe it is possible. We're not renegotiating the Paris Agreement that stays. But I want to see the United States looking for ways to rejoin it," May told the BBC as the two day summit began in the German port city.
"I believe the collective message that will be given to President Trump around this table will be the importance of America coming back into that agreement, and I hope we will be able to work to ensure that can happen."
May had previously expressed to Trump her 'disappointment' at his decision to pull the US out of the hard fought climate deal, which was signed by 195 countries including the United States.
She is due to meet Trump Friday for a bilateral meeting on the sidelines of the summit.
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