Zinedine Zidane left Bale unused on the bench as Madrid ended their LaLiga season with a 2-0 home defeat against Real Betis on Sunday.
Bale has played a bit-part role since Zidane returned to the club and his time at the Santiago Bernabeu looks to be coming to an end, although has managed 14 goals and six assists across all competitions this season.
The forward was left out of the squad entirely for the win over Villarreal and the loss against Real Sociedad and does not appear to have a good relationship with the French head coach and club legend.
Manchester United have long been linked with a move for Bale, whose agent Jonathan Barnett has said a Premier League return is possible, while former club Tottenham are also rumoured to hold an interest in re-signing their old player.
United appear close to signing another Welsh winger in the form of Swansea City's Daniel James, however, and with Anthony Martial, Jesse Lingard and Alexis Sanchez on the books, it may be that a departure will be needed to free up room for Bale.
Sanchez appears the most likely candidate to depart, with the swap deal that saw Henrikh Mkhitaryan move in the opposite direction to Arsenal having failed miserably.
The 30-year-old Chilean has managed just five goals across all competitions - three in the Premier League - in a season and a half at Old Trafford, a far cry from the 80 goals he managed in 166 games for Arsenal.
He is also reportedly earning a staggering wage packet that will need to be shifted on in order to take on another high earner such as Bale.
Aaron Ramsey and Ethan Ampadu are unavailable due to injury, while Ben Davies and Ben Woodburn are absent due to their sides - Tottenham and Liverpool - preparing to play the Champions League final on June 1.
After spending six days at the training camp Giggs will confirm a squad to face Croatia and Hungary on May 29.
Drawn in Group E, Euro 2016 semi-finalists Wales made a winning start to their campaign with a home defeat of Slovakia in March.