Reports say supporters of the ruling Bharatiya Janata Party (BJP) have booed Congress party chief ministers at three different official functions in the last few days.
Haryana Chief Minister Bhupinder Singh  Hooda's speech was repeatedly disturbed on Tuesday during an event in Mr Modi's presence.
Jharkhand Chief Minister Hemant Soren, an ally of the Congress party, and Maharashtra's Prithviraj Chavan were also "heckled by BJP supporters" at different functions.
Newspapers and websites feel such incidents are dangerous for India's federal structure.
Such behaviour "is hardly reassuring for any leader who plans to share the stage with his PM", says an article on the First Post website.
The article says that "at first blush, this may seem like a minor spat driven by political egoâ€¦ but it underlines a certain Jekyll and Hyde quality that Mr Modi's leadership has acquired..."
"It's just bad precedent that will, in the end, undermine Mr Modi's own credibility when he talks of working with the opposition - or when he visits an opposition-ruled state and can't find a single chief minister who will share a stage with him," it adds.
Following the incidents, several Congress leaders have declared that they will no longer share stage with Mr Modi.
The Tribune says such anger is "manufactured" and is "directed only at the rival party's chief ministers".
"The BJP is well aware that any protest in the presence of the PM would get wide publicity and thus serve the party's political strategy of creating an anti-Congress wave [in the upcoming state elections]," it says.
However, the Congress party's decision to not attend any official events with Mr Modi has also attracted criticism in the media.
"The Congress really appears to be losing the plot. This is evident from the childish reaction of some of its chief ministers who have refused to share the dais with Mr Modi," says the Hindustan Times.
Meanwhile, the federal government has set a target of three years to clean the heavily-polluted Ganges river,  reports say.
Mr Modi had promised to clean up the river during his poll campaign speeches earlier in the year.
The Ganges, India's longest river, is revered by Hindus and supports a third of the country's 1.2 billion people living on its floodplains.
And finally, the Grand Prix will not make a comeback to India in 2015 after Formula 1 boss Bernie Ecclestone declared that the troubled event has "run out of time" due to tax irregularities.
"It is too late for 2015. We (Formula One Management and Jaypee) are looking at 2016 now and hopefully the tax issues in India will also be sorted out by then. The organisers also need to settle the existing contract before we get back," the Deccan Herald quotes Mr Ecclestone as saying.
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The 19-year-old son of Saints director of rugby Jim scored a try in his first two matches for Saints and has made a total of nine appearances.
Fellow backs Tom Collins, George Furbank, Rory Hutchinson, Sam Olver and Howard Packman have also signed deals.
As have forwards Will Allman, Sion Bennett, James Fish, Lewis Ludlam, Alex Moon, Jordan Onojaife and Josh Peters.
Of the group, England Under-20 wing Collins, 21, is the most experienced in a Saints shirt, having made 27 first-team appearances.
Scotland Under-20 centre Hutchinson, 20; England Under-20s 21-year-old fly-half Olver; England Under-20 wing Packman, 20 and England Under-20 second row Onojaife, 20, are the others in the group to have played for Northampton's first team.
"The Saints academy is doing its job, identifying and bringing through local talent.
"There are some highly-rated players in that group - some who've already made an impact in the first team such as Tom Collins and Harry Mallinder.
"The challenge for the club and the players is for more of them to make the step up now and break into the match-day 23 - something which has been difficult this season without an Anglo-Welsh Cup."
Media in India are criticising the booing of opposition chief ministers in the presence of Prime Minister Narendra Modi.
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Northampton Saints centre Harry Mallinder is among 13 youngsters to sign new deals with the club.