Reply to Beatgrid Billie Jean with TP2?

So is this possible? Manage to beatgrid the intro of the song, but after awhile it skews over and goes out of sync. So just wondering if this i possible in TP2? Tried in the S4 Software a while ago but no luck:/ This is regarding other songs to with tempo change, like a slow part and then the bpm goes up again (typical House mixes with old songs in it