They have now increased their offer to sign a talent who has caught the attention of several top European clubs as they aim to outbid them to secure his transfer ahead of others.
Chelsea's transfer policy in recent seasons has been to assemble a team suited to nurture the development of superstars, and this approach has generally been successful.
The Blues have acquired players such as Cole Palmer, Nicolas Jackson and Noni Madueke at relatively low costs, while also investing record sums in Moises Caicedo and Enzo Fernandez.
Despite a recent run of two wins from their last four games against teams in the lower half of the table.
There is more to come from the west London side as well; Kendry Páez and Estêvão Wilian are set to join the club in the summer, who are both two of South America's most talented players, while Aaron Anselmino joined the club at the start of the year after being signed six months ago; expectations are high over his potential.
Meanwhile, the likes of Marc Guiu, Carney Chukwuemeka and Cesare Casadei have all been signed with varying degrees of success, and Chelsea are anticipated to carry on investing in the forthcoming transfer periods.
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Now, it's understood they are progressing towards making a move to secure a top talent on the opposing side of the pitch.
this January.
Discussions are underway, with claims the Blues have "already made a firm offer to the player" and remain "firm on signing him", even increasing their initial proposal to him.
The winger is capable of playing on either flank or in an attacking midfield role and has netted seven goals and provided three assists for his team so far this season. Despite Deportivo's relegation target being a certainty, it's said that the forward's impressive form has caught the eye.
A player who often plays on the left but can also operate on the right, Hernandez agreed to stay with his current team in April last year, although it's anticipated that he will move on in the next transfer windows. However, his club have stated that they would insist on being paid the 22-year-old's €20m (£16.7m) release fee before allowing him to join a new club within the next month.
So far, no club has come close to matching this, while Hernandez "is not going to force an exit" and worries over his potential playing time at Chelsea are put to one side too. Nevertheless, it seems that the team based in West London are ready to really push hard to bring him in during the transfer window.