  We describe bounded, holomorphic functions on the complex 2-disc, that admit
meromorphic extension to a larger 2-disc. This solves a conjecture of Bickel,
Knese, Pascoe and Sola. The key technical ingredient is an old theorem of
Zariski about integrally closed ideals in 2-dimensional regular rings. v2:
Remark 15 is added.
