Astafei's biggest success is the silver medal at the 1992 Summer Olympics in Barcelona, Spain, where she jumped over 2.00 metres. She represented Romania at those games. She first jumped over 2 metres in 1988, her personal best was 2.01 metres in 1995.
On January 9, 1995, she left the Romanian track and field association and since March 1, 1995, she has had German citizenship. Alina Astafei represented USC Mainz (1995–1997) and MTG 1899 Mannheim (coached by Constantin Dumitrescu; Since 1998; Trainer: Dan Vladescu). While she was active she was 1.81 metres tall and weighed 60 kg.
Individual results (until 1994 for Romania)
1986, Junior World championship: 2nd place (1.90m)
1987, Junior European championship: 1st place (1.88m)
1988, Olympic Games: 5th place (1.88m); Junior World championship: 1st place (2.00m)
1989, World Cup final: 3rd place (1.94m); Europa Cup final: 1st place (2.00m)
1992, Olympic Games: 2nd place (2.00m); World Cup final: 2nd place (1.91m)
1993, World championship: 4th place (1.94m); Europa Cup final: 1st place (2.00m)
1995, World championship: 2nd place (1.99m); Europa Cup final: 1st place (2.00m)
1996, Olympic Games : 5th place (1.96m); Europa Cup final: 1st place (1.98m)