The Greece international has been a big hit in Italy since moving there from Olympiacos back in August 2014.
Manolas has gone on to make more than 100 appearances for Roma and his performances have not gone unnoticed.
Manchester United are reportedly keen to bring the centre-back to Old Trafford, while Chelsea and Juventus have also been earmarked as potential suitors.
However, according to Corriere dello Sport, Inter are the ones pushing hard to sign Manolas this summer.
Roma have already stated that they will not sell the 25-year-old this January and as a result Inter are laying the foundations for a summer swoop.