Defender Nacho fired Real ahead in the 17th minute of the Santiago Bernabeu trophy invitational match when he nodded into the net from a Luka Modric corner before former Real midfielder Wesley Sneijder levelled eight minutes into the second half.
Marcelo settled the game in the 81st minute when he skipped past several opponents into the penalty area and clipped a neat low shot past goalkeeper Fernando Muslera.
It was an unconvincing performance from the world's richest club by income, however, with Cristiano Ronaldo wasting several chances and winger Gareth Bale failing to convince before making way for Denis Cheryshev with about five minutes left.
Under new coach Rafa Benitez, Real are looking to improve on a disappointing 2014-15 season when they failed to win any major silverware, starting on Sunday against Gijon.
The club announced earlier on Tuesday that they had made another addition to their squad with the signing of Croatia midfielder Mateo Kovacic from Inter Milan for a fee reported to be about 30 million euros (£21 million).
Brazil international Marcelo, one of the club captains, said Real were ready for the start of the La Liga season, when they will be aiming to deny champions and great rivals Barcelona a sixth title in eight years.
"We know that it's always very difficult at the beginning but we will give our all to put together a great season and start on the right foot," he told Spanish television.
(Reporting by Iain Rogers, editing by Ken Ferris)
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