The official KUNA news agency gave no details of the talks with Emir Sheikh Sabah al-Ahmad Al-Sabah.
But a diplomatic source told AFP that they focused on the situation in Gaza and ways to end the 13-day Israeli assault on the Palestinian territory which has killed nearly 400 people.
Meshaal arrived in the early hours of Sunday from Qatar where he is based.
He was due to return to Doha later to discuss the truce efforts with Palestinian president Mahmud Abbas.
Earlier this week, an Egyptian truce proposal was accepted by Israel, but snubbed by Hamas, which said it had not been consulted.
It has since requested changes to the Egyptian plan.
Hamas is demanding a complete end to the Israeli blockade on Gaza, that the Rafah crossing with Egypt be opened, and that Israel free scores of veteran prisoners who were re-arrested in recent weeks.
UN Secretary General Ban Ki-moon is due in Kuwait on Monday for talks with the emir as he joins the diplomatic efforts for a Gaza truce, KUNA said.(Qatar to Host Gaza Ceasefire Talks with Abbas and UN Chief)
