The UN's Yemen envoy Martin Griffiths has met the country's Houthi rebels in a push for new peace talks, as fighting continued around Hodeida.
The government representative said the delegation had decided to return home after the talks were put on hold for three days.
Multiple military sources reported the government alliance attempted on Friday to close in on rebel-held Hodeida.
Yemen's Houthi rebels, expected at UN-sponsored peace talks in Geneva with the government, remained grounded in Sanaa on Friday citing fears they would not be allowed to return to the capital.
The rebel delegation, still in Sanaa, insisted the UN meets three demands before it travels to Switzerland.
Yemen's warring parties will not meet face-to-face at UN-brokered peace talks in Geneva this week which will likely focus on a prisoner exchange deal, government officials said Sunday.
Prime Minister Imran Khan has advised diplomats to employ every tool possible - including sports and culture - to connect the two countries.
Two Ukrainian soldiers died and six were wounded in a new uptick of fighting between government troops and Russian-backed rebels in the east following high-profile peace talks, the military said Friday.
Shujaat Bukhari, a leading journalist and editor of the English-language daily Rising Kashmir, was shot dead in Srinagar on Thursday.
The Taliban said the offensive was partly a response to US President Donald Trump's new strategy for Afghanistan announced last August, which gave US forces more leeway to go after insurgents.