Nolito, 30, was strongly linked with some of Europe's top sides before completing a switch to the Etihad Stadium from Celta.
Everton held discussions with Manchester United over transfer targets Memphis Depay and Morgan Schneiderlin before last weekend's 1-1 draw.
Liverpool officially confirmed that Beale would be departing after Tuesday's Premier League Cup match against West Bromwich Albion.
Wednesday's emerging whispers in transfer news include Manchester United midfielder Marouane Fellaini being linked with a move to West Ham United.
Michael Laudrup has strongly denied claims he was dismissed as Swansea City manager due to irregular payments.