The Chelsea defender remains one of the profiles most liked by the Inter Milan hierarchy, though the club has not yet submitted a formal offer to the London club.
Chelsea are said to be asking for around €35 million in total to let the English centre-back leave. That valuation has already put off Como, whose offer of €28 million plus €2 million in add-ons was rejected by Chelsea.
Inter are watching developments and weighing up their next move, aware that a significant investment will be required to land the 1999-born defender. The report comes from Sky Sport.
Chalobah, an England international, came through Chelsea's academy after joining the club at the age of eight and has since made over 150 appearances for the first team. He was part of the Chelsea squad that won the Club World Cup last year and earned a surprise recall to England's World Cup squad this summer after injuries elsewhere in the squad. He has two years left on his contract at Stamford Bridge, which runs until June 2028.
Chelsea are believed to be open to a sale as part of a wider defensive reshuffle, but are determined not to let Chalobah leave below their valuation, having already knocked back Como's opening offer.
Any deal for Inter would represent a significant fee for a player who has become an increasingly important figure for Chelsea in recent seasons, and any departure would represent a notable sale for the Premier League club.
With Como already priced out of a deal at their initial valuation, Inter's move for Chalobah would likely require a fee closer to Chelsea's asking price, a sum the Nerazzurri will need to weigh carefully against other priorities in the transfer market this summer.
For Chivu, adding a versatile defender capable of operating across a back three would provide further options at the back as Inter look to build on last season's campaign.