Acts 15:9

And put no difference i.e. made no distinction. The Apostle looks on God's testimony to the Gentiles in two lights. What was given to the new converts was the same which had been given at the first outpouring of the Spirit. And God made no mark of distinction to sever Jews from Gentiles. Faith had purified the hearts of Cornelius and his house, and the outward observances of the law of Moses were of no account when the heart was clean before Him who alone could judge of the purity thereof. In these words of his St Peter clearly agrees to all that St Paul had taught about the admission of the Gentiles.

purifying their hearts, &c. The verb is the same which is used in the account of the vision (Acts 10:15) "what God hath cleansed, &c.," and St Peter is clearly referring to that narrative.