Rovers could offer the Brazilian midfielder as much as £130,000/week to move to Ewood Park, although they face competition for his signature.
Brazilian side Gremio are also said to be interested, along with several other English clubs - whose identity is being kept secret by Ronaldinho's agent.
New Blackburn owners Venky's see Ronaldinho as the ideal way to make a statement of ambition for the club.
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Meanwhile, Bolton are said to be keen on Arsenal striker Carlos Vela. (Daily Mail)
Bolton boss Owen Coyle is keen on a loan deal for the Mexican star in the January window.
Arsenal may see the move as a chance to give Vela some experience.