The conversion of Cornelius only comes after yet another vision given to Simon Peter himself; in Simon Peter's vision, he sees all manner of four-footed beasts and birds of the air being lowed from Heaven in a sheet. A voice commands Simon Peter to eat. When he objects to eating those animals that are unclean to Mosaic Law, the voice tells him not to call unclean that which God has cleansed.
When Cornelius' men arrive, Simon Peter understands that the vision permits the conversion of the Gentiles. When Cornelius himself meets Simon Peter, Cornelius falls at his feet in adoration. Picking Cornelius up, Simon Peter welcomes him. After the two men share their visions, and Simon Peter tells of Jesus' ministry and the Resurrection, the Holy Spirit falls on everyone at the gathering. The Jews among the group are amazed that Cornelius and other uncircumcised should begin speaking in tongues, praising God. Thereupon Simon Peter orders that Cornelius and his followers be baptized.
The controversial aspect of Gentile conversion is taken up later at the Council of Jerusalem ().
The baptism of Cornelius is an important event in the history of the Early Church. The gates of the Church, within which thus far only those who were circumcised and observed the Law of Moses had been admitted, were now thrown open to the uncircumcised Gentiles without the obligation of submitting to the Jewish ceremonial laws.|||F. Bechtel, Catholic Encyclopedia, 1908.