  Let $E_\lambda$ be the Legendre elliptic curve of equation
$Y^2=X(X-1)(X-\lambda)$. We recently proved that, given $n$ linearly
independent points $P_1(\lambda), \dots,P_n(\lambda)$ on $E_\lambda$ with
coordinates in $\bar{\mathbb{Q}(\lambda)}$, there are at most finitely many
complex numbers $\lambda_0$ such that the points $P_1(\lambda_0),
\dots,P_n(\lambda_0)$ satisfy two independent relations on $E_{\lambda_0}$. In
this article we continue our investigations on Unlikely Intersections in
families of abelian varieties and consider the case of a curve in a product of
two non-isogenous families of elliptic curves and in a family of split
semi-abelian varieties.
