The Blues are keen on signing the Norwegian striker this summer.
The reported offer was a player-plus-cash deal involving Tammy Abraham or Callum Hudson-Odoi.
The Premier League side are in the market for a new striker, and are understood to be keen on signing Haaland, who is one of the hottest young talents in the world at the moment.
Haaland has shot to fame after his relentless goalscoring form at Dortmund over the last two seasons.
The 20-year-old has become a sought-after striker in Europe, with many top clubs seeking out for him.
Among the interested parties, Thomas Tuchel’s side are open to splashing the cash for Haaland, who is also on the radar of Manchester City and Real Madrid.
However, Dortmund are determined to keep their prodigious talent regardless of any lucrative offer this summer.
Die Borussen recently parted ways with another Prized asset Jadon Sancho, who agreed to join Manchester United. But they want to hold on to Haaland next season to compete for both Bundesliga and Champions League.
Timo Werner played as the striker upfront but failed to replicate the similar performances he previously had at RB Leipzig.
The German manager is said to be looking for a high-profile striker who can strengthen the attacking line-up and also bring competition to Werner.
Besides Haaland, Lautaro Martinez and Romelu Lukaku are also on the radar of the Blues.