"A non-Congress, non-BJP Prime Minister heading a government supported by one of these two principal parties is, however, feasible. This has happened in the past also," he said in his latest blog posting.
However, he cautioned that such a dispensation may not last long.
Advani's remarks assume significance in the context of Bihar Chief Minister Nitish Kumar's reservations over BJP projecting Modi as the Prime Ministerial candidate in the next general elections.
Of late, there has been speculation that Advani and Modi do not share the same relationship they used to have years ago. Advani had in an earlier blog also written about not-so- rosy a picture about the state of affairs in BJP.
Advani cited the examples of Charan Singh, Chandrashekhar, H D Deve Gowda and I K Gujral - all supported by Congress - as well as V P Singh (supported by BJP) who held the post of the Prime Minister.
But, he warned that such governments have never lasted long.
"There has been stability at the Centre only when the government has had either a Congress or a BJP Prime Minister," the BJP leader said. (More)