  In the present paper, we introduced the extended bicomplex plane
$\bar{\mathbb{T}}$, its geometric model: the bicomplex Riemann sphere, and the
bicomplex chordal metric that enables us to talk about the convergence of the
sequences of bicomplex meromorphic functions. Hence the concept of the
normality of a family of bicomplex meromorphic functions on bicomplex domains
emerges. Besides obtaining a normality criterion for such families, the
bicomplex analog of the Montel theorem for meromorphic functions and the
Fundamental Normality Tests for families of bicomplex holomorphic functions and
bicomplex meromorphic functions are also obtained.
