Thiago developed at Barcelona’s youth academy and played for the first team for a few years before moving to Bayern Munich in the summer of 2013.
According to The Guardian at the time, German giants Bayern had to pay Barca a transfer fee of £21.6 million (€25m) in order to secure the services of the 25-year-old midfielder.
The Guardian also reported at the time that Manchester United were interested in signing the Spain international.
Rodgers, who is now in charge of Scottish Premiership giants Celtic, was the manager of Liverpool at the time, and the former Swansea City boss has revealed that he wanted to bring Thiago to Anfield.
“I’ve been coming for a number of years,” Rodgers told Sport when asked about Barcelona head coach Luis Enrique’s admiration for him. “I’ve always been a great lover of Barcelona and the structure of the club.
"The time I think Luis is referring to, I travelled out with my son, he was coming out for his 13th birthday. He is now 23!
“Nolito was playing in the youth team, [Jonathan] Soriano, the midfielder who signed for Bayern [Thiago Alcantara]. I had hoped to try and get him to sign for Liverpool. It’s understandable he signed for Bayern.”
Thiago is one of the best midfielders in Europe and is an established member of the Bayern team.
The former Barcelona man scored two goals and created 37 chances in 27 Bundesliga appearances for Bayern last season.
So far this campaign, Thiago has created five chances in two league matches for the German giants.
Celtic will take on Barcelona away from home at Camp Nou in the Champions League Group C on Tuesday evening.