The 34-year-old, who is currently a free agent, trained with Orlando City SC as a guest player earlier this month and GloboEsporte.com have since claimed that he is on the verge of joining the club after being offered a contract.
To add yet more credence to the rumour, Orlando skipper Kaka posted the following tweet on Tuesday after the Brazilian outlet's initial report emerged, welcoming the man known as “The Beast” to the Orange Bowl.
Baptista previously played with Kaka on the Brazil national team for several years, including at the 2010 World Cup, while the pair also came up the ranks at Sao Paulo together before both moving to Europe in 2003.
The 47-times capped attacker went on to have spells at Sevilla, Real Madrid, Arsenal on loan, Roma and Malaga before returning home to join Cruzeiro in the summer of 2013, racking up a total of 235 appearances and 75 goals in his club career.
He won back-to-back Brazilian championships with Cruzeiro in 2013 and 2014 but left the Belo Horizonte-based side in December when his contract expired and has since been hunting for a new home.
The former Gunners loanee would be Orlando’s second high-profile signing of 2016 after Antonio Nocerino arrived in Florida last month, but the club would need to trade for an additional international roster spot before his mooted move could be completed.