To speak together or converse — used for the Emmaus disciples talking with the risen Jesus and for Paul's extended teaching conversations.
The Greek homileō (from homou, together + hileō, to speak) means to converse or talk with someone — the word from which 'homily' derives. It appears in Luke 24:14-15, where the two Emmaus disciples were 'talking together (hōmiloun)' about the crucifixion and resurrection when Jesus himself joined them and 'went with them.' Acts 20:11 records Paul 'talking (homilēsas) until daylight' after the raising of Eutychus. Acts 24:26 notes that Felix 'sent for Paul and talked (hōmilei) with him' frequently.
The homileō of Luke 24:14-15 is one of the most theologically rich details of the resurrection narratives. Two disciples, walking and conversing about the devastating events in Jerusalem, are joined by the risen Jesus — whom they do not recognize. Their homileō (conversation) about Jesus leads to an encounter with Jesus. He draws out their grief, opens the Scriptures (Luke 24:27), and only at the breaking of bread are their eyes opened. The pattern: conversation about Christ → encounter with Christ → Scripture opened → recognition. Every Christian homily, at its best, recreates this Emmaus road: the word spoken leads to the Word recognized.