If we can get solid, reliable foundations and then sprinkle a little bit of magic on top of that, then fantastic
Blackburn manager Steve Kean
The MLS season resumes on 15 March, meaning the ex-Manchester United midfielder would be available to play up to 11 games on a short-term deal.
Tottenham manager Harry Redknapp has already suggested that Beckham is keen to move to White Hart Lane, while Newcastle are another interested party.
Ronaldinho is in his native Brazil after leaving AC Milan's winter training camp in Dubai - a move that looks set to end his troubled stay at the San Siro.
He moved to Milan from Barcelona in 2008 but lost his place in the starting XI after the club signed forwards Zlatan Ibrahimovic and Robinho last summer.
Brazilian clubs Flamengo, Palmeiras and Gremio are all keen on Ronaldinho but Blackburn have tabled a bid to AC Milan and a tempting offer in terms of wages for the player.
"To be precise [it is] 7.6m euros (£6.5m) for the first year and about 8.5m euros (£7.2m) for the second and third years," confirmed Desai.
Rovers manager Steve Kean said the bid was a statement of intent from the club's Indian owners.
"I know there has been contact made by the owners to representatives of Ronaldinho but I don't know how far down the line it is and whether it will actually happen," he said.
"If any Premier League manager was asked if they wanted to sign someone who has been World Player of the Year twice they would be interested.
"Everyone should look as it as a positive, it has been a long time since we have been able to do that."
However, having had nine senior players unavailable since taking over from Sam Allardyce less than one month ago, Kean is more concerned with building a solid squad.
He said: "The way we are with injuries at the moment and the stability of the squad hopefully we can add four or five other players and then if we can get another big name like that [of Ronaldinho] it will be the icing on the cake.
"When we spoke with the owners we said if there was a potential marquee player - and there are four or five that spring to mind and two have been mentioned in Ronaldinho and David Beckham - we would love to have them here.
"If we can get solid, reliable foundations and then sprinkle a little bit of magic on top of that then fantastic, but it certainly comes from a solid base."
Rovers became the first Indian-owned Premier League club when a trust set up by the late former owner Jack Walker to own the club sold its 99.9% holding to the newly formed company Venky's London Limited.
And Desai added: "The impression is I've never watched a football match. I've not watched in a stadium but I have been watching the World Cup in India.
"I have watched hundreds of cricket matches but not live - it's all on TV. To say I don't have any knowledge would be wrong. I am a good listener.
"The fans have to trust us and give us some time and you will see for yourself that we are sincere people, very passionate about the football team and football club and our fans. We will not let you down."
Desai also told Sky Sports News that they were looking at a couple of other players.
"We're thinking of getting Damien Duff back," she said.
The Republic of Ireland and Fulham winger began his career as a trainee at Ewood Park and helped Rovers win the League Cup in 2002 before moving to Chelsea where he won two Premier League titles.
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