Nepal says protests against its new constitution are abating, just hours after police opened fire on a crowd and injured three in the east of the Himalayan nation.

The Home Ministry said Tuesday that curfews imposed amid weeks of violent demonstrations that left more than 40 dead are now being relaxed in parts of the country.

The violence has alarmed neighboring India, with New Delhi calling its ambassador to report on the situation Monday.

The Nepal Oil Corporation said Indian oil tankers are refusing to enter Nepal because of security concerns, and trucks carrying cargo from India were also stopping short of the border.

While many in Nepal cheered Sunday's adoption of a new constitution after a 10-year effort, some ethnic groups say concerns over defining state borders were ignored.