High-profile pair Keisuke Honda and Wilfried Bony have been offered to Allsvenskan clubs.
IFK Goteborg has signed former Napoli captain Marek Hamsik this week.
And Fotbollskanalen says former AC Milan striker Honda and ex-Manchester City forward Bony are also being offered to Swedish clubs.
The 34-year-old Honda, who has scored 37 goals in 98 internationals for Japan, is without a contract after leaving Botafogo at the turn of the year.
The 32-year-old Bony has played 56 internationals for Ivory Coast, scoring 16 goals and passing through clubs like Manchester City and Swansea.
Bony's contract with Saudi Arabia's Al-Ittihad expired in November, and he is therefore also free.