Yes indeed. There is one story of Upali, a great Jain disciple
and debator, who was eventually 'converted' into Buddhism and
attained enlightenment... (note that this Upali is different from
the top disciple in Precepts)
Upali was one of the chief followers of the Jain master,
Mahavira. Because of his intelligence, Upali often appeared in
public debates on behalf of the Jains.
There was one incident where Upali had a debate with the Buddha. At
the end of the debate, Upali was so impressed with the Buddha's
teachings that he asked to be the Enlightened One's follower.
"Venerable Sir, please allow me to be your follower".
To that, the Buddha answered, "Upali, you are at the height of your
emotions. Go home and reconsider it carefully before you ask me
again".
Upali was extremely impressed, "If it was any other guru, he will
parade a banner saying, 'Mahavira's chief lay-disciple has become
my follower'. But you, Venerable Sir, you asked me to go home and
reconsider. Now, I want to be your follower even more. I will not
stand up until you accept me".
Finally, the Buddha agreed to accept Upali, under one condition,
"Upali, as a Jain, you have always given alms to Jain monks. When
you become my follower, you will CONTINUE to give alms to Jain
monks. This is my condition".
Upali agreed to this condition.