  In this paper, we apply Borcea-Voisin's construction and give new examples of
fourfolds containing a del Pezzo surface of degree six, which admit an elliptic
fibration on a smooth threefold. Some of these fourfolds are Calabi-Yau
varieties, which are relevant for the $N=1$ compactification of Type IIB string
theory known as $F$-Theory. As a by-product, we provide a new example of a
Calabi--Yau threefold with Hodge numbers $h^{1,1}=h^{2,1}=10$.
