Bellingham, having only just recovered from a hamstring injury, was called up by England coach Thomas Tuchel the past week's friendlies.
However, the midfielder was left on the bench for the draw with Uruguay and defeat to Japan.
Marca says Real chiefs have branded the exercise as "pointless" and insist Bellingham would've been better served staying at home and working on his strength and conditioning.
Asked about keeping Bellingham on the bench, Tuchel explained to BBC Radio 5 Live: "I think it's too much of a risk. So, the tendency is that he will not play.
"We have all gained from him being part of it. He was excellent in training, but he was involved as a neutral player. He was involved in not the whole 100 per cent of the training. So, it looked very, very good but we're still holding him back, to not take a risk.
"The injury is a muscle, it's a very particular one, and we absolutely don't want the re-injury in this moment of the season. And him as well, it was very good that he was in camp. He was excellent. But the tendency is that he won't play."