Both men have been linked with moves to Spain, with the Swede allegedly keen on working with Real Madrid's Jose Mourinho again, and the Brazilian still of interest to BarcelonaAC Milan CEO Adriano Galliani has insisted that the club have no intention of allowing either Zlatan Ibrahimovic or Thiago Silva to leave San Siro.
Sweden striker Ibrahimovic has been linked with Real Madrid in recent weeks, while Brazil defender Thiago Silva has been courted by Barcelona for the best part of a year.
However, when asked by reporters on Monday about Milan's plans to bring in world-class players during the summer, Galliani stated that the two stars will remain at the club.
"We already have two, Thiago Silva and Ibrahimovic, who’ll both be staying with us," he said.
The Rossoneri chief was then quizzed on the future of the 10 members of Massimiliano Allegri's squad who will imminently be out of contract.
"We will start on them this week," he explained. "The door to my office will be open from tomorrow [Tuesday] onwards.
"With our Champions League spot already secured, we have the entire summer ahead of us to think about next season."
The inquest into Milan's failure to hold onto their Serie A title this season has already begun, after Juventus capitalised on the Rossoneri's defeat by rivals Inter on Sunday to secure their 28th Scudetto with a 2-0 victory over Cagliari. But Galliani insists that the club can be proud of their campaign.
"We were the best Italian side in the Champions League and we were only knocked out of the Coppa Italia in extra time in the semi-finals [against Juve].
"Obviously we would have preferred another outcome to second place, but Juve have won and credit to them. I phoned [Juventus president] Andrea Agnelli yesterday evening and gave him my compliments.
"We’re in second place now after winning last year and we’re in the Champions League, so life goes on and we’ll be fighting for the title next season.
"Now we look to the next season without remorse or regret. It’s acceptable to go from first to second place. Over the last two seasons with Allegri we've picked up more points than anyone in Italy."
The issue of Sulley Muntari's 'ghost goal' against Juve in their Serie A clash at San Siro in February was also brought up, with the suggestion being that things had evened themselves out in light of Inter midfielder Esteban Cambiasso's controversially-disallowed goal in Sunday's derby.
However, Galliani was having none of it, insisting that the Argentine's header only warranted comparison with Robinho's 'goal' that never was in the 1-1 draw with Catania at the end of March.
"It's similar to the situation with Robinho versus Catania, but not with Muntari's goal against Juventus," he argued.
Milan will now wrap up their season with a game against Novara at the Giuseppe Meazza on Sunday.