Premiership side Bolton are long term admirers of the player, and could be waiting to swoop should Hearts fail to agree a move for the on-loan star.
Sources close to Tynecastle also claim Everton and Newcastle are keeping an eye on the situation, following a string of impressive performances towards the end of the season.
However the early signs are good for the Jambos after Kingston revealled last week he intended to stay on in the capital.
"For now, I'm very happy with Hearts, my agent is in talks with the president of Hearts and everything is moving positively.
"I'm happy to be with them and my family is happy to be in Edinburgh. Now I'm going back home to rest and then I will see what happens.
"Some opportunities are in the pipeline, but Hearts are my first choice.