Later in 2010 (after joining the full Hajduk team) Livaja was sold to Internazionale, who loaned him to Swiss side FC Lugano in 2011.
He was loaned again to Cesena in summer 2011 through a €250,000 deal from Hajduk Split, and made his Serie A debut for Cesena against Fiorentina in October 2011.
Livaja played for Cesena in both their primary team and their youth team.

In January 2012 he returned to Inter when Cesena partially sold him to them for €2.25 million in a co-ownership deal.
 After Andrea Stramaccioni was appointed the coach of the first team, Livaja became a member of Inter Primavera, winning the 2011–12 NextGen series.
Livaja received his first call-up as a member of the first team on 1 April 2012, where he was an unused substitute in a match against Genoa won 5–4 at San Siro.

In the 2012–13 season, Livaja made his first appearance in the opening season match against Pescara and played his first game as a team starter against Roma in January 2013.
He appeared in a total of six Serie A games during the first half of the season, but without scoring a goal.
Livaja got more playing time in European games, as he was the coach Stramaccioni's first choice striker for 2012–13 UEFA Europa League group matches against Rubin Kazan, FK Partizan, and Neftchi Baku.

He scored his first goal for Inter against Rubin Kazan on 20 September 2012 and became Inter's top scorer for the group stage, with four goals in six group matches.
Inter finished second in Group H with 11 points, three behind Rubin Kazan.
Later in 2010 (after joining the full Hajduk team) Livaja was sold to Internazionale, who loaned him to Swiss side FC Lugano in 2011. He was loaned again to Cesena in summer 2011 through a €250,000 deal from Hajduk Split, and made his Serie A debut for Cesena against Fiorentina in October 2011. Livaja played for Cesena in both their primary team and their youth team.
In January 2012 he returned to Inter when Cesena partially sold him to them for €2.25 million in a co-ownership deal.  After Andrea Stramaccioni was appointed the coach of the first team, Livaja became a member of Inter Primavera, winning the 2011–12 NextGen series. Livaja received his first call-up as a member of the first team on 1 April 2012, where he was an unused substitute in a match against Genoa won 5–4 at San Siro.
In the 2012–13 season, Livaja made his first appearance in the opening season match against Pescara and played his first game as a team starter against Roma in January 2013. He appeared in a total of six Serie A games during the first half of the season, but without scoring a goal. Livaja got more playing time in European games, as he was the coach Stramaccioni's first choice striker for 2012–13 UEFA Europa League group matches against Rubin Kazan, FK Partizan, and Neftchi Baku.
He scored his first goal for Inter against Rubin Kazan on 20 September 2012 and became Inter's top scorer for the group stage, with four goals in six group matches. Inter finished second in Group H with 11 points, three behind Rubin Kazan.
Marko Livaja