Not everyone catches on right away. Jesus was right there with them. And they didn't recognize him. They knew about the resurrection. They were even surprised that their travel companion didn't seem to.
They may not have been able to recognize Jesus right away, but they are ready to talk about him to strangers who show interest.
They tell of what they had been expecting and what they had been told.
They tell this stranger about Jesus, how he was a prophet and the one who had been sent to redeem them; yet he had been handed over by the religious authorities to the Romans who had consequently condemned him to death and crucified him.
The story got stranger. Some of the women in their group had told them that when they had gone to visit his tomb, a vision of angels had said he was still alive. Hearing this, some in the group went to the tomb and confirmed that the body was missing, but they didn't see Jesus.
And, on the road to Emmaus, they don't recognize him yet.
Although the one that they had hoped would rescue them had himself been executed, although they had not been able to see for themselves the angels that some of the women had said had told them that he was not alive, they still allow a stranger to walk along with them, to talk with them. They even listen to a sermon from him. Then, since the day is almost over, they invite him to stay with them.
Loss. Disappointment. Frustration. Yet, an offer of hospitality.