SEOUL, SEPT. 6 -- The prime ministers of South and North Korea ended two days of historic talks today amid conciliatory gestures designed to suggest an easing of the bitter rivalry between the two nations.

South Korea agreed to weigh a North Korean proposal for the two countries to share representation in the United Nations, and both delegations said they would take steps to resume negotiations on reuniting families in the divided peninsula. The talks marked the highest-level contact between the two nations since World War II.

Afterward, North Korean Prime Minister Yon Hyong Muk met South Korean President Roh Tae Woo, and the South Korean president was reported to have proposed a meeting of the nations' top leaders.

"If we meet often and discuss issues between the North and South, there will be no problems we cannot settle," Roh told Yon.

Roh, the first South Korean president to meet a North Korean envoy, has frequently proposed a summit meeting, but this was the first time the idea was presented directly to a North Korean official. Yon made no response, according to South Korea's semi-official news agency.

Nevertheless, Yon and his South Korean counterpart, Prime Minister Kang Young Hoon, are scheduled to hold a second round of talks Oct. 16-19 in the North Korean capital, Pyongyang, and North Korea may use that occasion to respond to the summit idea. In the past, Pyongyang has brushed aside such proposals.

This week's talks here failed to resolve any major issue and ended without a joint communique. Nonetheless, officials offered largely upbeat portrayals of the meetings, pointing to symbolic gestures and diplomatic courtesies along with the absence of harsh accusations between the rival delegations. Yon and his 89-man entourage are to return to North Korea Friday after his four-day visit.

In one gesture that drew attention among officials here, Yon addressed Roh today as "president" and was reported to have told told him that North Korean President Kim Il Sung "asked me to convey his greetings." According to a South Korean spokesman, Yon also told Roh that the North Korean leader wants to achieve reunification "not by war but by peaceful means." Such statements were considered noteworthy because North Korea does not recognize the Seoul government as legitimate and North Koreans rarely use official titles when referring to South Korean leaders such as Roh.

"I believe this {prime ministers'} meeting was successful," said North Korean spokesman An Byong Su, using a phrase similar to one employed by his South Korean counterpart a few minutes earlier.

As had been widely expected, each side refused to budge from entrenched positions on a major issues, including arms control, border openings and U.S. troop withdrawals.

Moreover, some diplomats and political analysts said the two sides may have exaggerated signs of progress to create a facade of budding detente. These analysts said they see little hope of movement beyond symbolic gestures as long as a Stalinist government remains in control in North Korea and former generals play a dominant role in the South.

South Korea's government is seeking to offset doubts among voters about its sincerity in urging reconciliation, analysts said. Meanwhile, North Korea's rigid leadership, facing pressure from key allies in Moscow and Beijing as well as a failing economy, wants to convince the outside world that it is changing, the analysts added.

On the issue of U.N. representation, South Korea's Kang agreed today to temporarily suspend his government's bid for unilateral entry into the United Nations and to study a North Korean plan for the two countries to jointly hold one seat. Neither North nor South Korea is now a U.N. member, but both countries have observer status. Some analysts described the South Korean move as merely cosmetic, saying chances seem remote that Seoul would agree to an awkward proposal that it has scoffed at for years.

The two delegations said they would instruct their Red Cross agencies to restart talks broken off five years ago aimed at reuniting families separated since Korea's 1945 division. Millions of people were cut off from parents, spouses and other relatives and have had no word from them. But, observers said, any hopes for family reunions will depend on an overall improvement in relations between the governments.