ぜひとも
ぜひとも · zehitomo · JLPT N2 · adverb
by all means (with sense of not taking 'no' for an answer)
ぜひ (by all means, must) + とも (even, also) = insist, even if they say no
ぜひ comes from 是非, which means right or wrong, so it carries a sense of must. とも adds emphasis, so ぜひとも means you really must, no matter what. Use it to push hard for a yes.