Glasgow-born Mulgrew, 30, actually started his career with Celtic, but after failing to make the breakthrough at Celtic Park, he moved on to Wolverhampton Wanderers in 2006.
Two unhappy years in England, which included a loan to Southend United, led to Mulgrew heading back to Scotland with Aberdeen, where his career took off.
A return to Celtic in 2010 finally brought him success in the famous green and white hoops, and he has now made over 200 appearances for the Bhoys - but his long-term future with the club remains in doubt.
Mulgrew, who has played at centre back, left back and in holding midfield as a utility player with Celtic, is out of contract this summer, and can leave the club for free, prompting interest in his signature.
According to The Scottish Sun, Premier League side Bournemouth have an interest in signing Mulgrew, and Derby County have now joined the race to sign him too.
The Rams could yet win promotion to the Premier League with a play-off place guaranteed, and Mulgrew may be seen as a versatile option for Derby, offering cover in a host of positions.
It's also claimed that talks have stalled and been put on hold with Mulgrew until the club land a new manager, and whilst he may be willing to wait and see whether a new boss would keep him, the offers for another shot of success in England could be too good to turn down for the Scotland international.
Do you think Celtic should offer Mulgrew a new contract?