  We study the module of universal norms associated with a de Rham $p$-adic
Galois representation in a perfectoid field extension. In particular, we
compute precisely this module when the Hodge-Tate weights of a representation
are greater than or equal to $0$. This generalises a result by Coates and
Greenberg for Abelian varieties, and partially answers a question of theirs.
Our method relies on the classification of vector bundles over the
Fargues-Fontaine curve.
