In the Bible, the meeting between Jesus and Matthew is described in the Gospel of Matthew, chapter 9, verses 9-13. Matthew, also known as Levi, was a tax collector and was despised by the Jewish people for working for the Roman government and collecting taxes from them.

In this passage, Jesus sees Matthew sitting at his tax collector's booth and says to him, "Follow me." Matthew immediately gets up and follows Jesus. This shows the power of Jesus' call and Matthew's willingness to leave his old life behind and follow Jesus.

After this, Jesus goes to Matthew's house and eats with him and other tax collectors and sinners. This angers the Pharisees, who question why Jesus would associate with such people. Jesus responds by saying, "It is not the healthy who need a doctor, but the sick. But go and learn what this means: ‘I desire mercy, not sacrifice.’ For I have not come to call the righteous, but sinners."

This interaction between Jesus and Matthew shows that Jesus was willing to reach out to those who were considered outcasts by society. It also shows that Jesus was not concerned with the opinions of the religious leaders of his time and was more focused on his mission to save those who were lost.

Overall, the meeting between Jesus and Matthew is an important moment in the Gospel of Matthew and highlights Jesus' message of love and acceptance for all people, regardless of their background or past actions.