Mbappe was withdrawn on the eve of the playoff clash with a knee strain amid reports he won't be seen again for several weeks.
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There have been suggestions that Mbappe is unhappy with the way Real's medicos have been treating the injury and is now seeking another opinion.
Arbeloa later told Movistar: "We have discussed with him and the doctors and we think it is better to stop, recover and get back to 100%.
"I can't say how long the absence will last, but it will be more than a few days.
"He had been experiencing discomfort in the previous days. After Tuesday's training we decided it was best to rest and recover completely."