The full-back has been one of Rayo Vallecano's most consistent performers in recent seasons, a run of form that has now put him on Chelsea's radar as a potential long-term option at left-back.
His attacking output and his ability to adapt to different defensive systems have been central to that reputation, qualities Chelsea believe can translate to the Premier League. The two clubs are still negotiating the finer details of the transfer, with no agreement yet in place over the final fee.
Chelsea have put forward an initial offer of €12 million, a figure that includes variables and performance-related bonuses. Rayo Vallecano consider that proposal insufficient, with their valuation set above €20 million.
The gap between the two clubs remains significant, meaning talks are set to continue as they search for middle ground somewhere between the two figures.
That €8 million difference is the main sticking point in an otherwise straightforward negotiation, with both clubs understood to want the deal done rather than dragged into late summer.
Despite that, there is optimism at Chelsea, along with a clear intention to move progressively closer to the demands set by the Madrid club, who are presided over by Martin Presa.
Chelsea are aiming to complete the deal without dragging out negotiations, aware that Chavarria is a priority in their plans to strengthen at left-back following Marc Cucurella's departure. Filling that vacancy has become a clear focus for Chelsea this window, and Chavarria's profile fits the requirements set out by the club's recruitment team.
For now, the situation remains open, with the two sides still some distance apart but showing a willingness to find agreement, something that could prove decisive in unlocking the deal in the coming weeks.
Neither club has put a time frame on when a resolution might be reached, but the willingness on both sides to keep talking suggests a deal remains firmly within reach this summer.