The League One side enjoy a positive relationship with Bhoys boss Brendan Rodgers.
The Barcelona defender has been linked to Liverpool and Tottenham Hotspur in the past.
The Magpies winger was included in the preliminary 26-man squad but has been left out of the final group.
Middlesbrough will be competing in the Premier League next season for the first time since their relegation in 2009.
The Arsenal striker was jeered by his own fans in the friendly international win over Cameroon on Monday night.
The Liverpool striker is in danger of being cut from the England squad for Euro 2016.
Hennessey has a year left on his Crystal Palace contract, while the Toffees are down to just one senior 'keeper.
The Sheffield Wednesday goalkeeper starred in the Championship play-off final defeat on Saturday but faces a fight to feature at Euro 2016.
Newcastle United are currently the favourites to be promoted from the Championship.
Abel Hernandez speaks regarding rumours linking him with Arsenal.
Marco Silva had been leading the race with the bookies to become the next Everton manager.
Discussing co-operating in areas such compliance, settlements and trade processing.
Newcastle United are working on a deal to sign Kenedy from Chelsea on a permanent deal.
Does Domingos Quina regret not joining Tottenham Hotspur ahead of West Ham United?
Wolverhampton Wanderers are said to be competing with West Ham United for the signature of Jack Wilshere.
Liverpool's Mohamed Salah makes the PFA Team of the Year, but his star teammate did not.
Glasgow Rangers boss Graeme Murty's contract expires in the summer, so could Robbie Neilson head to Ibrox?
Ibrox side Glasgow Rangers should look at bringing him to the Scottish Premiership.
Should Celtic look at Darren Fletcher this summer?
Everton signed Lewis Gibson from Newcastle United
Welcome to this morning's transfer round-up. This edition features 'Michael Carrick set for new Manchester United contract' and 'Arsenal looking at Jeison Murillo?' plus more, so delve in below.
Fulham's Ross McCormack is reportedly keen on a move to Newcastle.
Everton, Stoke City and Tottenham Hotspur are reportedly keen on Aston Villa ace Jack Grealish.