Conversation so far:
When did Utada Hikaru try the international market?
Her first singles compilation album Utada Hikaru Single Collection Vol.
1 was released on March 31, 2004.
Was it popular?
It became the best-selling album of 2004 in Japan.
Was it popular in worldwide or was this still before she went international?
CANNOTANSWER.
Did she leave Japan during this time?
In mid-2004, Utada moved back to New York.
What did she do there?
began work on a new recording contract with Island Def Jam Music Group.

Question: Did she make and albums or songs with them?
Self-contained rewrite: Did Utada Hikaru make albums or songs with Island Def Jam Music Group?