Fekitoa looks likely to leave Wasps next summer and the Daily Mail reports Glasgow are among his potential suitors along with clubs in France.
When asked about a potential move for Fekitoa, Glasgow head coach Danny Wilson told the Scotsman: "I've got nothing on recruitment for you at the moment, but certainly a lot of conversations are going on. I'm trying to be on top of the next stage of our recruitment as well as everything else at the moment and a few exciting conversations have been going on - but just conversations at the moment."