Larsson joined Eintracht Frankfurt from Malmö FF in the summer of 2023 and has steadily become a key player for the Bundesliga club.
The 22-year-old scored two goals and provided three assists in 34 competitive matches last season.
Manchester City, Liverpool, Tottenham and Atletico Madrid have all been credited with interest in Larsson over recent months.
Romano now reports that several clubs have made initial enquiries about the midfielder.
Larsson has scored ten goals and provided seven assists in 119 competitive appearances for Eintracht Frankfurt.
He is under contract with the club until the summer of 2029, having signed an extension in October 2024.
The Sweden international began his career at local side SoGK Charlo before joining Malmö FF's academy at the age of 12.
He had a week's trial at Chelsea as a youngster, when he still played as a forward, before central midfield became his settled position at Malmö.
Larsson made his senior Malmö debut in February 2022 and quickly established himself, winning the Allsvenskan's young player of the year award before his move to Germany.
His transfer to Eintracht Frankfurt in 2023 set what was reported at the time as a record fee received by a Swedish club.
He scored his first Bundesliga goal in October 2023 against Heidenheim, before netting again in a 5-1 win over Bayern Munich two months later.
The Swede has won twelve senior caps for his country but was left out of Sweden's squad for this summer's World Cup.
Eintracht Frankfurt will now have to decide whether to cash in on one of their most sought-after players or fight to keep him beyond this transfer window.