I've been using a TP Link WR1043ND with BT Infinity since the first day I got it with no problems whatsoever. As was just mentioned above, BT Infinity is like a cable connection rather than ADSL in that the modem is separate and so you need to use a cable router.
The initial modems were apparently prone to overheating though I never had an issue myself. My own modem is wall mounted and was updated about a year ago by BT. Once again all is well!