Representatives from Spurs saw the £8million-rated striker in action in the 1-1 draw against Le Havre two weeks ago. Briand scored in the match.
Spurs now have plans to send scouts to watch im again before the January transfer window.
Brian has two years left on his contract with Rennes, but it is believed he would be keen on a move to the Premiership.
Rennes turned down a £6million bid from Paris Saint Germain in the summer.
