North Korean leader Kim Jong Un did not answer when asked whether he would give up his nuclear weapons.
However, President Trump predicted he would work with Kim to resolve differences over North Korea's nuclear program.
"Working together we’ll get it taken care of," Trump said at the start of an expanded meeting. He said the two leaders "will solve a big problem, a big dilemma."
Kim and President Trump have begun their second rounds of talks, which will end with a working lunch.