The estimated €400million (£328million) revamp will be led by German architects GMP along with international firm L-35 and Catalan firm Ribas & Ribas following an international tender process.
A new exterior will be built, and from the mock-ups shown on Friday, a retractable roof will also be included in the project which will take three years to complete.
Perez said at the unveiling of the plans: "It's time to face another challenge has come, we want to make the Santiago Bernabeu is the best stadium in the world.
"Our commitment is to continue increasing the heritage of our club, thus gain in economic strength, so we can continue to lead in an environment of increasing competition.
"We believe in a project that will enhance our image, brand and city that we also feel proud of."
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