Prince William began the first official visit by a British royal to Israel and the Palestinian territories on Monday, facing the challenge of navigating deep political and religious divides in a Holy Land once ruled by Britain.
Mr Rivlin said: "I know you are going to meet President Abbas".
Speaking before William's visit, Alexander, freshly back from a bicycle ride that retraced his life-saving voyage as a toddler, said he was chosen to meet the prince as the youngest member of the Kindertransport.
Prince William visited Yad Vashem, the World Holocaust Remembrance Centre, after arriving in Israel on the first official trip there by a United Kingdom royal.
At the residence, the prince met relatives of the late Rachel Cohen, who was hidden from the Gestapo, along with two of her five children, by Princess Alice, the mother of Britain's 97-year-old Prince Philip, in her palace in Greece.
Thanks to her, the Cohen family survived and today lives in France, it said.
The Duke and Crown Prince of Jordan were lead on a tour of the ancient city by Samia Khouri, director of museums at the Jordan's Department of Antiquities and attended several activities by young children at the Southern Theatre. The princess died in 1969, and in 1988 her remains were brought to Jerusalem.
He will stay in Jerusalem at the King David Hotel, the former headquarters of the British administration during the mandate in Palestine before the creation of Israel in 1948.
The royal itinerary managed to anger Israeli politicians by mentioning Jerusalem as being part of "the Occupied Palestinian Territories".
The prince will try to deftly dodge politics as he later visits east Jerusalem, which Israel captured in the 1967 Mideast war and annexed in a move not internationally recognized. That tour took them to the archaeological site of Jerash, a first century Roman city that Middleton visited with her sister, Pippa, when she was four years old and the family lived in Jordan. The Palestinians claim east Jerusalem as their future capital.