Interfaith dialogue

What is the status & is there any place for interfaith dialogue in Shariah?
To date, and may be I am wrong, my understanding is that it can lead to corruption of one’s own Deen by listening to the ideologies of other religions our heart will be affected. Listening & contemplating their Dawat will affect our heart.
Furthermore, did Rasulullah Sallallahu Alayhi Wasallam ever engage in interfaith dialogue or was his mission refutation of batil ideologies & Dawat Illallah only? I was thinking here about Surah Al Kafiroon.