Klavan signed from Augsburg this summer and featured in all three of Liverpool's tour matches.
Celtic host Astana on Wednesday in a key Champions League qualifier.
Former Arsenal and Everton striker Kevin Campbell believes Newcastle aren't messing around as they look for promotion from the Championship.
Sunderland would benefit greatly from the Manchester United player' s presence.
Newcastle United supporters have urged goalkeeper Tim Krul to stay put at St. James’ Park.
Leeds United have added yet another player to their squad.
Matz Sels joined Newcastle on June 29th from Belgian side Gent.
Liverpool played three games during their tour of the United States.
Arsenal are said to be discussing whether to make a move for Crystal Palace defender Scott Dann.
Glasgow Rangers signed Matt Gilks in the summer transfer window after he left Burnley.