The Brazilian defender was rumoured to be close to a switch to Old Trafford in January, while the Blues have also been linked with his signature in recent months.
But now Liverpool chief Brendan Rodgers is firmly in the battle as he plots to solve his defensive woes.
The Northern Irishman watched his side concede a whopping 50 Premier League goals last term which effectively cost them a first title in 24 years.
Rodgers is aware that he needs more organisation at the back, and is thought to see the 30-year-old as an option.
Bayern are rumoured to be willing to sell the former Borussia Monchengladbach ace, but may well demand a sizable fee with three years remaining on his contract.
Dante faces a battle to be a regular starter at the Allianz Arena, and may be keen to relocate to Liverpool in a bid to play more regularly in a bid to stay in the Brazilian squad beyond the World Cup.