A.T. Robertson Commentary Acts 10:24

"And on the morrow they entered into Caesarea. And Cornelius was waiting for them, having called together his kinsmen and his near friends." — Acts 10:24 (ASV)

Was waiting (ην προσδοκων). Periphrastic imperfect active, in eager expectation and hope, directing the mind (δοκαω) towards (προς) anything. Old and common verb.

Near (αναγκαιους). Only instance in the N.T. of this sense of αναγκαιος from αναγκη, necessity, what one cannot do without, necessary (1 Corinthians 12:22), duty (Acts 13:46), or blood relations as here. The ancient Greek writers combined these two words (συγγενεις, kinsmen, αναγκαιους, necessary friends) as here. It was a homogeneous group of Gentiles close to Cornelius and predisposed to hear Peter favourably.