The word rapprochement is French, and means reconciliation. If two people have a conflict but they resolve the conflict in a friendly manner, then they accomplish a rapprochement.
Adenaure's rapprochment with the West was marked by a famous meeting with De Gaulle in Paris 1963 - could not make up for damage to reputation in the decling years of his cheancellorship.
The United States normalized relations with China in 1979 under President Jimmy Carter. This involved the establishment of full diplomatic relations and the recognition of the People's Republic of China as the legitimate government of China, replacing Taiwan.