Luiz Adriano and Bacca were brought in as coach Sinisa Mihajlovic looks to revamp a team who finished a lowly 10th in Serie A last season under Filippo Inzaghi.
Milan president Silvio Berlusconi also wants to bring back Paris Saint-Germain striker Ibrahimovic - who spent two seasons wearing a Rossoneri shirt before his departure for France in 2012.
Despite the Italian giants having no European football to offer the Swede and being less financially secure than the Ligue 1 champions, Luiz Adriano says that it would be great to line up with Ibrahimovic and Bacca in 2015-16.
"It would be nice to play alongside two great player such as Bacca and Ibra," the Brazilian, who joins from Shakhtar Donetsk, told reporters pon his arrival in Italy.
The 28-year-old also explained that he had chosen to join Milan for an estimated €8 million (£5.6m) over other clubs due to their history – both in terms of winning trophies and fielding Brazilians.
"I chose Milan because of the history it has and what it has achieved in a footballing sense," he enthused. "There is also a great tradition of Brazilian players and I'm happy to be here.
"I'm fine, I've worked with a personal trainer in Brazil to get in shape. There was interest from a number of clubs but I decided on Milan."