Chief executive of the Italian club Umberto Gandini told Sky Sport Italia (h/t Robert Summerscales of MailOnline): "There are offers. We are talking and evaluating, but it takes three parties to reach an agreement and at times also with those who are around the player."
According to Summerscales, the Blues are keen on the Bosnian as they look to add to their firepower ahead of the second half of the season.
Sky Sports News' Kaveh Solhekol shared the details of their offer and Dzeko's demands:
The 31-year-old has scored 13 goals in all competitions this season—more than any Chelsea player has managed—and netted 39 last year, including 29 in Serie A.
Despite speculation over his future, he played a full 90 minutes in the 1-0 defeat to Sampdoria on Sunday, per the Mirror's Darren Lewis:
The striker is the same age as Giroud, though it seems the Frenchman could be a more costly acquisition.
According to MailOnline's Simon Jones, the Gunners are prepared to let him join Chelsea if they sign Pierre-Emerick Aubameyang, provided the Blues pay them £35 million for his services.
As Jones noted, while he has a higher price tag, he's already in London and would be eligible to play in the UEFA Champions League knockout phase.
Football.London's Charles Watts cannot understand why Arsenal would contemplate letting him make the move, though:
As football writer Michael Cox noted, Giroud is a valuable asset to the Gunners:
Even if Chelsea are prepared to pay a premium to land him and he is eager for more game time, allowing Giroud to join the Blues would seem a bizarre decision from Arsenal's point of view, depriving them of a valuable option while strengthening a direct rival.
For Chelsea, either Dzeko or Giroud would make a strong option up front, even if they would only be relatively short-term options, and their captures would make for a healthy boost heading into the run-in.