(Reuters) - Kohlberg Kravis Roberts, the private equity company, has raised more than $3 billion for its second Asia fund, according to a securities filing.

Of that amount, $2.76 billion came from U.S. and non-U.S. investors, while $250 million has been committed by its general partners, KKR said in a filing dated June 22.

The New York-based firm is setting up its first deals team in Singapore as the U.S. private equity firm seeks to invest about $1 billion in Southeast Asia through its second Asia fund, sources with knowledge of the matter told Reuters earlier.

(Reporting by Nivedita Bhattacharjee in Chicago; Editing by Anthony Boadle)