Serie A side Monza are pursuing a £7million deal for Celtic right-back Josip Juranovic.
And the Parkhead club have lodged a £2.7million bid for South Korean World Cup star Cho Gue-sung after J-League Urawa Reds opened negotiations over a shock move for Giorgos Giakoumakis.
Both Juranovic and Giakoumakis turned down improved contract offers from Celtic before Christmas.
And Monza – owned by former Italian Prime Minister Silvio Berlusconi - want to sign the Croatia international on loan with a deferred £7million fee agreed for the summer.
The right-back’s representatives held talks in Milan at the end of last week. And Monza chief Adriano Galliani is keen to cut a deal in the current window
Espanyol and a number of other teams are also keen on the 28-year-old, who plans to assess all of his options before choosing a new club.
Reports in Japan, meanwhile, state that Urawa – bankrolled by Mitsubishi – are in discussions with Celtic over a transfer fee with ‘negotiations progressing well.’
Giakoumakis is frustrated by both his salary and his lack of game time. Linked with Denmark’s FC Midtjylland earlier this week, big spending Urawa want the Greek and Brazilian Thiago Santana to beef up their attacking options.
Giakoumakis last scored for Celtic in October, but hit the woodwork twice after appearing as a substitute in a 2-0 win over Kilmarnock.
Ange Postecoglou swerved speculation surrounding over the striker’s future, saying: “I just deal with what’s in front of me. Giako has been working hard but Kyogo is in great form, scoring every week. So he’s having to come on and make a contribution - and he hasn’t flinched from that.’
Celtic have identified South Korean World Cup striker Cho Gue-sung as the player they want to replace Giakoumakis.
Former Manchester United star Park Ji-Sung is handling negotiations on behalf of club Jeonbuk Hyundai Motors, with the Scottish champions prepared to pay £2.7million to get their man.
Reports in Germany say Mainz have cooled their interest after concerns over the financial package.