Leaders of prominent Islamic groups and mosques in India appealed to fellow Muslims on Monday to suspend plans for protests against derogatory remarks about Prophet Muhammad (Peace Be Upon Him) made by two members of the ruling Hindu-nationalist Bharatiya Janata Party (BJP) party.

The message to avoid big gatherings was circulated after demonstrations took a violent turn last week, after the police shot dead two Muslim teenagers while more than 30 people, including police, were wounded.

“It is the duty of every Muslim to stand together when anyone belittles Islam but at the same time it is critical to maintain peace,” said Malik Aslam, a senior member of Jamaat-e-Islami Hind, a Muslim organisation that operates in several Indian states.

Early this month, two senior members of Prime Minister Narendra Modi's party made remarks that offended Muslims. A party spokeswoman made the offending comment in a television debate and a party spokesman on social media.

The party suspended both of them and said it denounced any insult towards any religion, and police have also filed cases against the two, but that did not stop enraged Muslims taking to the streets in protest.

Police arrested at least 400 suspected rioters during unrest in several states and curfews were imposed and internet services were suspended in some places.

Many Muslims in India have been questioning their place in society since Modi came to power in 2014, playing down his roots in a powerful Hindu-nationalist group to which his party is affiliated.

Critics say his BJP has pursued a confrontational line, promoting the idea that India is a Hindu nation and rounded on “anti-national” opponents, which many Muslims see as an attempt to marginalise them, a community that makes up 13 per cent of India's billion plus population.

Authorities in the northern state of Uttar Pradesh on Sunday demolished homes of several Muslim men and women part of the protests, drawing condemnation of the state government, led by the BJP, from constitutional experts and rights groups.

Muslims and rights groups interpreted the destruction of the houses as punishment for protesting but state authorities said it was because it was illegally built on public land.

“We are not demolishing houses to stop Muslims from protesting as they have all the right to take to the streets,” an aide to the state's hardline Hindu leader told Reuters.

Modi has not commented on the anti-Islam remarks that sparked the protests even as condemnation grew abroad.

Countries including Qatar, Saudi Arabia, the UAE, Oman and Iran, important trade partners for India, have lodged diplomatic protests.