Congratulating Xi on his election, Volker Kauder, parliamentary leader of Germany's CDU&CSU block, said he is confident that friendly relations and close contacts between the two nations will be further boosted in the future.
Katja Kipping and Bernd Riexinger, leaders of Germany's Left, wished Xi success.
As a permanent member of the UN Security Council, China has played an indispensable positive role in coping with a number of major challenges we are faced with, they said in a message.
Paolo Ferrero, chief of Italy's Communist Refoundation Party and the party's secretary of international affairs Fabio Amato wished the new CPC leadership every success in fulfilling its mission in leading the party and the Chinese people.
They also pledged to strengthen the friendship between the two peoples and cement mutual support between the two parties.
Italy's Democratic Party chief Pier Luigi Bersani said he had very fond memories of a meeting with Xi during his visit to Rome and hoped they could meet again soon.
The growing ties between the two parties and the two nations are in line with the common interests of the two peoples, he said, adding he believed that the friendly relations would continue to be strengthened.
Jose Luis Centella, general secretary of Spain's Communist Party, and Maite Mola, the party's secretary of international affairs, said in their congratulatory message that policy decisions made during the 18th CPC congress will be of great importance to China's endeavor to build a socialist society with Chinese characteristics.
Landmark building should respect the public's feeling