Scott Brown featured for Celtic against Aberdeen in the Scottish League Cup on Sunday afternoon.
Everton have won just one of their first nine matches across all competitions.
Tottenham Hotspur and Liverpool are reportedly keeping tabs on Youri Tielemans.
Crystal Palace have been going through an alarming slide over the last couple of months.
The West Ham midfielder has come in for criticism so far this season.
West Bromwich Albion reportedly face competition from AC Milan and Inter Milan for Liverpool defender Mamadou Sakho.
Steve Bruce was appointed the Aston Villa manager in October.
Celtic manager Brendan Rodgers has already delivered his first trophy to the Glasgow club.
O'Shea remains positive about Sunderland despite a 2-0 loss to Liverpool at the weekend.
The Hammers players were pleased to get three points at Old Trafford.