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However, the total offer did not reach £120m.
Newcastle do not want to sell, and value Isak at £150m.
The Sweden international is training alone at his former club Real Sociedad's training facilities amid uncertainty over his Newcastle future.
It is understood Newcastle are aware of Isak's whereabouts as he recovers from the "minor thigh injury" that the club say has kept him from travelling to Singapore for their pre-season tour, with the player expected back in the north east next week.
The 25-year-old has informed Newcastle that he wants to explore his options in this transfer window after Liverpool previously made an informal approach for him.
Liverpool play at Newcastle in the Premier League - live on Sky Sports - on August 25 on Monday Night Football.
Also See:Analysis: The three reasons why Newcastle rejected Liverpool's Isak bid
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Alexander Isak's top five goals in the Premier League for Newcastle, as he is linked with a move to Liverpool.
The longer it goes on, the less likely it is to be done."
Analysis: Why Isak is in demand
Sky Sports Data Editor Adam Smith:
Alexander Isak scored 23 goals in the Premier League last season - second only to Mohamed Salah.
The Sweden international also outperformed his expected goals (20.42), underlining his elite-level finishing and composure in front of goal.
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In terms of quality, we are already in the right place."
Ekitike had been a target for Newcastle before it became clear he was intent on moving to Liverpool.
Newcastle have missed out on a number of targets this summer, despite qualifying for the Champions League and have endured a troubled pre-season, losing three games in a row.
Sky Sports to show 215 live Premier League games from next season
Sky Sports to show 215 live Premier League games from next season
From next season, Sky Sports' Premier League coverage will increase from 128 matches to at least 215 games exclusively live.
And 80 per cent of all televised Premier League games next season are on Sky Sports.
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