What did Peter say to Cornelius about keeping company with Gentiles?

Les explains that Peter was still basically a law-keeping Jewish believer and had not comprehended Paul's gospel of grace. At the vision of the sheets Peter said, 'Not so, Lord, I'm not going to eat any of those animals,' because he had never gone contrary to the law; he ate kosher and had never eaten anything common or unclaimed. Then at Cornelius's threshold, before he walked in, Peter told Cornelius that Cornelius had been in Israel long enough in military service and had been around them, so he knew it was an unlawful thing for Peter, a Jew, to keep company with a man of another nation. Les says if Peter had understood Paul's gospel of grace, that would not have crossed his mind; he should have been thrilled to enter the house of a military officer. But it was bothering him: as a good Jew, according to the law, he could not go in there, even though God had made it plain this was what He wanted. This was the controversy involving Jewish emissaries from Jerusalem who undermined Paul's congregations and claimed he lacked official recognition from Peter and the eleven, while Paul said he needed no such recognition because he got his from the Lord in heaven.