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Despite a 1-0 win in Bergamo, it was Gian Piero Gasperini's men who relatively easily progressed.
The season is not done yet — win six out of six in the Premier League and it is still possible that could be enough — but either way, the end of the campaign is coming, and that mean the question of what needs to happen in the summer is becoming more prominent.
Michael Edwards and Richard Hughes will need to identify the positions that need strengthening, and then the right players in the transfer market who can fulfill those roles.
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What and who might they be, though?
With the Champions League back at Liverpool next year, European games will not be on the table for Kelleher, and Alisson might not miss a league game if he doesn't get injured.
The defense is probably the area of the team that needs the most strengthening.
No matter what formation the next Liverpool manager wants to play, Joël Matip looks set to be departing at the end of the season as a free agent and Ibrahima Konaté is someone whose fitness needs to be carefully managed, even though he started a third successive game against Atalanta.
Signing another center-back, then, is surely something that is high on the priority list.
In a perfect world, they might also be left-footed, so they can cover for Virgil van Dijk, who needs to be managed carefully to ensure his longevity.
In midfield, Liverpool has depth but is set to lose Thiago Alcântara, and Wataru End? will be another year into his 30s.
There is also a question mark over the ruthlessness of some of the players Liverpool currently has, though finding upgrades is not necessarily straightforward.