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.
Could the Tottenham Hotspur midfielder be on his way this summer.
The Slovakian is still out of contract this summer.
Sporting Lisbon were expecting to be rolling in it when selling Ruben Semedo - but Newcastle United, Everton and Southampton could get him on the cheap.
Aston Villa are reportedly willing to pay £5 million for Barnsley skipper Marc Roberts - five months after they nabbed previous captain Conor Hourihane.
Should Manchester United’s Michael Carrick join Newcastle United in the summer transfer window?
Villarreal hope to loan him out to a La Liga side next season.
Tottenham Hotspur finished above Liverpool in the Premier League this season.
The Manchester United defender could have a difficult choice to make, with West Ham United and West Bromwich Albion both said to be in contention for his signature.
HITC Sport understands the former Bristol City boss is in the frame for the Sunderland and Watford jobs.
Newcastle United defender DeAndre Yedlin has enjoyed an impressive first season at St. James' Park.
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.