Luke 24:33

‘And they rose up that very hour, and returned to Jerusalem, and found the eleven gathered together, and those who were with them, saying, “The Lord is risen indeed, and has appeared to Simon.”

Recognising the significance of what they had seen for their fellow-disciples, who would no doubt accept their word more than a woman's, they immediately rose up from the table and returned to Jerusalem. And there they found the eleven gathered together, along with other disciples, who no doubt included the women, and they were told that the Lord had risen indeed and had appeared to Simon. Now that Simon Peter had seen Him it could be accepted that He had risen indeed.

This appearance to Simon Peter has been already prepared for by Luke in Luke 24:11, seemingly in view of the lack of any further material. Note that he did not just make some up. For evidence of such an appearance to Peter compare 1 Corinthians 15:5. Peter had seemingly testified to the fact that he had seen the Lord, but we may probably assume from the lack of any details that he had been unwilling to give further details of the meeting in view of what was said there. It had been his first meeting with Jesus since his denial. Compare how his public rehabilitation before the other disciples takes place later in John 21:15.

(Reading it as the two from Emmaus ‘saying' it makes little sense. Why would the unnamed companion be named and not Cleopas, in such a way as to suggest that Cleopas had not been involved?)