If
Z
Z
is the centre of the Lie algebra
L
L
, its cohomology
H
∗
(
L
)
H^*(L)
is naturally a module over the exterior algebra
Λ
Z
\Lambda Z
. Under suitable hypotheses on
L
L
, motivated by recent work by Pouseele and Tirao, we find free summands in
H
∗
(
L
)
H^*(L)
for this module structure, thus establishing the Toral Rank Conjecture for a new class of Lie algebras.