The Aquile are looking to confirm their futures in order to avoid any transfer speculation ahead of the Supercoppa Italiana match against Juventus in Shanghai on August 8.
Corriere dello Sport report that both players are yet to accept a contract extension from the capital club and are in different stages of negotiation.
Marchetti’s current contract expires next summer and he has been offered a two-year deal with the option of a third to stay.
The Italy international is eager to stay with the Biancocelesti and his agent Beppe Bozzo is finalising negotiations over bonuses.
Lulic is still some way off agreeing terms, with the club looking to continue talks over the coming weeks to bridge the gap between his demands.
The Bosnian rejected a new deal at the end of 2014, while his current contract runs until 2017.
Lulic has also been linked with a move to Bundesliga sides Borussia Monchengladbach and Bayer Leverkusen.