The name of the song is 'L'Ascenceur', and it was published by Nova Tempo specifically for the commercial. The composers are Theirry Fauchard and Alain Plumauzille.

: Does anyone know the name of the track in the Axe (Lynx in the UK) commercial?
> A guy sprays on some Axe in an elevator then leaves. A man and a woman then enter the elevator and the woman starts to 'warm' to the man as a result of the lingering scent the previous man had left.
> The lyrics go something like, 'I want ya... tease me'.