The Oscar-winning actress - who already has three adopted children, as well as three biological ones, with partner Brad Pitt - has reportedly started the process to bring home a baby girl from the Asian country.
However, Brad is said to not be keen on the idea but an undeterred Angelina began the proceedings on her own.
A source said: "He has made it clear that six children are more than he can handle. The idea of one more seemed ludicrous, but Angie is determined to complete her rainbow family."
A spokesman for the Immigration and Naturalisation Service in Washington D.C. confirmed that "only Angelina`s name was on the adoption papers."
Angelinaadopted her eldest son Maddox - now eight - from Cambodia in 2001, while she was still married to second husband Billy Bob Thornton, but was legally his only parent.
After splitting from Billy, she went on to adopt Zahara from Ethiopia in 2005 and soon after getting together with Brad, he legally became the father of both children.
The couple then had their first biological child, Shiloh, in May 2006 before adopting Pax - now five - from Vietnam in March 2007.
They then became the proud parents of twins, Knox and Vivienne, who were born in July 2008.