that the Messenger of Allah (ﷺ) said: "The Salam is before talking." With this chain it has been reported that the Prophet (ﷺ) said: "Do not invite anyone to the food until the Salam is given."
Jami` at-Tirmidhi Book 42, Hadith 12
← Previous Hadith "The Messenger of Allah (ﷺ) said to me: 'O my little son! When you enter upon your family then give the Salam, it will be a blessing for you and upon the inhabitants of your house."

Jami` at-Tirmidhi Book 42, Hadith 11 Next Hadith → that the Messenger of Allah (ﷺ) said: "Do not precede the Jews and the Christians with the Salam. And if one of you meets them in the path, then force them to its narrow portion."

Jami` at-Tirmidhi Book 42, Hadith 13