Shrestha said China was "positive towards the requests" without revealing if they had promised any cash.
Wen was also expected to seek support for Beijing's policies in the restive region of Tibet, which has seen a wave of self-immolations over the past year in protest at Chinese rule.
Nepal, home to 20,000 Tibetan exiles, is under pressure to stem the flow of Tibetans fleeing their homeland.
Hundreds make the difficult and dangerous journey to neighbouring Nepal every year, fleeing what they say is political and religious repression in China, though their numbers have fallen sharply in the past few years.
More than 200 Tibetan exiles have been arrested in the past few days for illegally entering the Himalayan republic, Nepali police said, as part of a security crackdown in the capital.
"Both Taiwan and Tibet are integral parts of the Chinese territory," said a joint statement from the two governments released after the visit.
Nepal "firmly supports" China's efforts to uphold "state sovereignty, national unity and territorial integrity" and does not allow anti-China activities, the statement added.
Premier Zhu Rongji was the last Chinese leader to visit Nepal, in 2001, although recent years have seen a flurry of visits by Chinese delegations.
"This is the highest-level visit from China to Nepal in more than 10 years. It will be an important platform to strengthen the relationship between the two countries," said Tanka Karki, a former Nepali ambassador to Beijing.
Wen paid a courtesy call to President Ram Baran Yadav before departing - just five hours after arriving - for the Middle East on a trip to key oil-producing nations.
The Chinese leader had been due to visit Nepal in December but the trip was cancelled amid speculation over security concerns.
- AAP, AFP