Check the NOAA "Global Historical Climatology Network" (GHCN). Access via ftp (ftp://ftp.ncdc.noaa.gov/pub/data/ghcn/daily/). Here you find KATHMANDU AIRPORT and DHANKUTA for Nepal (50 and 45 years, respectivly) and 3000+ sites for India. Good luck!
Possibly the simplest way, is the one proposed by Harris et al., in fact you only have to choose the quadrant of any part of the world in google earth and download the information, I share article and .kml file.