Kvist has impressed for Danish champions FC Copenhagen and Stuttgart have confirmed they ‘are in touch with the player’.
Bobic told BILD: “We have an interest in the services of William Kvist, this is a known fact.
“We are in touch with the player. We are going to further look into this matter, now the season in Denmark is also over as well.
“We will be acting sensible and we are going to be appraising in those negotiations.”
Kvist’s contract at FC Copenhagen expires in the summer of 2012 and the Danish side reportedly wants around £3.2million for the midfielder.