A host of strategic issues, including defence and security, were discussed between Modi and Koirala during their talks that lasted for nearly 40 minutes.
Talking about bilateral ties, Modi said, "When we trust each other, we can move forward very quickly."
"Projects that have been in limbo for 25 years are moving forward. I feel very satisfied," he said after inaugurating the trauma centre built by India at Kathmandu's Bir Hospital.
The agreement for the USD 1 billion Line of Credit to Nepal was signed between Nepal's Finance Ministry Joint Secretary Madhu Kumar Marasini and David Rasquinha, the Deputy Managing Director of Exim Bank.
Modi, who arrived here earlier today for a three-day visit, will attend the two-day 18th SAARC Summit beginning tomorrow apart from holding bilateral meetings with other SAARC heads of state and government.
India and Nepal today signed the Motor Vehicle Agreement under which permit would be given to vehicles to ply on designated routes in each other's country.
The 10 agreements signed between the two countries include, MoU on training at Nepal Police Academy, MoU on Tourism, MoU Traditional Medicines and MoU on Youth Exchange.
A MoU was also signed on a project development agreement over the 900 megawatt hydro-electric project on the Arun river in Nepal.
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