The Croatia international joined the Premier League club from Lyon in June on a four-year contract for a reported fee of £8.5 million.
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"We're very clear about our goals and Lovren was one of them," the Argentinian told the Daily Star Sunday.
"He is quality as a player, has a presence on the field and he's good at solving difficult situations.
"I think his qualities will really suit the Premier League, so we're very happy to have him and to bring him into this project.
"There are some rumours of different players joining Southampton and a lot of agents have linked us with players.
"It's not just [Victor] Wanyama that we're looking at. There are a couple more players we are expecting to talk to.
"All the players I have heard mentioned are good footballers and I think they'd all be happy to come here - but perhaps we don't have a place for all of them!"