Read St. Luke 24:13-35
"And beginning at Moses and all the prophets, he expounded unto them in all the scriptures the things concerning himself."
Notice where Jesus directs the attention of the disciples. Not into themselves. Not to their personal experiences or subjective feelings. He directs them to the revelation of Almighty God. Jesus opens up the Scriptures for them and beginning with the words of Moses and going all the way through the prophets, He shows how His death and resurrection form the rhythm of the Scriptures from the very start.
That's how Jesus turns stubborn hearts that are slow to believe into hearts that burn with faith in Him -- it's through the Scriptures which are preached and taught in their fullness by the Church which Jesus Christ has founded. If our hearts are slow to believe and our minds are dull in the knowledge of God, we have only ourselves to blame for not listening to God’s Word as it’s taught to us by our Holy Mother the Church.
See what the Gospel then tells us. Although their hearts were burning, their eyes were not yet opened. Jesus pretends to go on, but the disciples insist that He join them for supper. It was nearing the end of the day, and evening was coming. They enjoin Him to remain for supper.
Although Jesus was their guest, He sits at the head of the table. He takes the bread, He blesses and breaks it, and He gives it to them. It is an echo of the last meal that Jesus had with His apostles on the night in which He was betrayed. Here again is Jesus, breaking bread. And St. Luke tells us that "their eyes were opened and they recognized Him." In the breaking of the Bread, in the Holy Sacrifice of the Mass, Jesus is recognized and known.