  We generalize the ancient solutions of the Ricci flow on certain principal
${\rm SO}(3)$ bundles over compact quaternionic K\"ahler manifolds constructed
by Bakas, Kong, and Ni to certain $RP^3$ fibre bundles over a product of two
compact quaternionic K\"ahler manifolds. The ancient solutions are of Type I,
$\kappa$-noncollapsed, and have positive Ricci curvature. Analogous solutions
on even-dimensional non-K\"ahlerian bundle spaces are also constructed.
