The Reds have been linked with Carvalho on many occasions .
Carvalho seems to be a name who crops up on transfer reports with all of the Premier League 's big clubs , as Arsenal , Manchester United and City have all been linked in the past .
The Reds have been linked with Carvalho on many occasions , and he seems to be a name who crops up on transfer reports with all of the Premier League 's big clubs , as Arsenal , Manchester United and City have all been linked in the past .