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Messi could also sensationally leave Camp Nou after telling the club he wants to activate a clause in his contract that would allow him to make a free transfer, though the club insist that option is no longer valid and La Liga are taking their side.
But recent developments suggest the six-time Ballon d'Or winner may stay at the Catalan giants after his father, Jorge, had positive talks with president Josep Maria Bartomeu.
Rakitic, however, would like to see his old team-mate follow his lead in swapping the Blaugrana jersey for the red and white stripes of Sevilla.
Asked if his new side could land Messi, the midfielder said: "We would find him a place, no problem.
"No, seriously, I think it is nice to see how the club is growing. Always humble. And this is also what is attractive to me.
"I want to work, fight with my team-mates for making Sevilla even bigger. So, fight, work and I am looking forward to start right now."
Rakitic's Sevilla return on the field is set to come on September 24, when the LaLiga club face Bayern Munich in the UEFA Super Cup.
The Croatian midfielder was part of the Barca squad embarrassed 8-2 by Bayern in the Champions League quarter-finals last month.
But Rakitic was unfazed by any suggestions he could get some revenge for that defeat when Sevilla meet the Bundesliga champions in Budapest.
"Big respect for Bayern. Obviously, it will be a very difficult game. We know how strong they are," he said.
"However, I am also aware of them knowing how powerful Sevilla is. So, we will be preparing that game in the best way possible. There is a trophy at stake – a very important trophy.