Hours after Ms Choe spoke, two short-range projectiles were reportedly launched from North Korea.
It’s the latest in a series of tests in recent months.
At their first meeting, last year, US President Donald Trump and North Korea’s Kim Jong-Un agreed to the “complete denuclearisation” of the Korean peninsula – but without determining what that meant or how to achieve it.
Discussions on the finer details broke down in February, during their second summit in Hanoi.
What has North Korea said?Ms Choe said on Monday that North Korea was willing to sit “face-to-face” again at an agreed time and place around late September.
In the statement, she urged Washington to come with a fresh approach in order to keep hopes for a deal alive.