Both arrive in the Premier League as multiple Champions League winners, with Bale winning Europe’s most prestigious competition four times and Thiago picking up a title with both Barcelona and Munich.
Former Arsenal midfielder Parlour rates them both as brilliant signings but feels Bale can have a greater impact on his former club, having left for a then world-record £85m in 2013 to move to La Liga.
‘I think Bale can bring more to the team for Tottenham,’ Parlour told TalkSport.
‘I think Liverpool are an excellent team anyway and that strength as a midfielder, they’ve got [Jordan] Henderson, [Georginho] Wijnaldum, [Alex] Oxlade-Chamberlain – they’ve got so many good midfielders in there.
‘Thiago is an excellent signing but if you can get the best out of Bale and get him fit, I think Bale will be a better signing.’
While giving Bale the edge, Parlour still thinks Thiago will add a lot to the Liverpool midfield.
‘I think he’s an all round midfielder,’ Parlour added.
‘His passing ability – what I’ve seen in the semi-final and the final – was superb. He’s absolutely different class.
‘He’s not going to be a goalscorer for them but he’ll be the one who links everything together.
‘So a great addition for Liverpool, a really good signing there for that sort of money.’