The prime minister walked out after Pashinian made it clear he would only discuss Sargsyan's resignation.
Armenian Prime Minister and former President Serzh Sargsyan announced his resignation on Monday. Nikol Pashinyan was right and I was wrong.
Sargsyan had been targeted in widely-supported protests that accused the former president, who held that office for two five-year terms, of clinging to power through his appointment as prime minister on April 17.
"The movement on the streets is against my office. I am fulfilling your demand", the statement said.
Armenian Prime Minister Serzh Sargsyan's reference to March 1 events at the meeting with opposition MP Nikol Pashinyan on Sunday morning "can in no way be treated as a threat", Defense Minister Vigen Sargsyan told n news briefing on Monday. "I wish this country peace, harmony and logic", his statement runs.
"So has everyone now understood that we have won?"
After ruling Armenia with a firm hand for a decade, Armenian's leader bows to people power.More news: Paul George has a hip contusion
More news: Commonwealth leaders agree to make Prince Charles head
More news: Thunder Drop Game 2 to Jazz in Playoff Series
Asked if Russia would intervene, Mr Peskov said the matter was "exclusively an internal affair" and Russian action would be "absolutely inappropriate".
Images broadcast on the internet and social media showed the soldiers hugging protesters and waving the country's national flag, in a development the Armenian Defence Ministry condemned as illegal and promised to harshly punish.
"This was the rare aberration - the rare exception of a peaceful non-violent degree of people power actually achieving its goals", Giragosian said.
At time of going to press, the population of Armenia is celebrating its long awaited victory and hoping finally to establish democracy in the country.
The ex-president had formally stated he would "not aspire" to the prime ministerial position, but on Tuesday last week the country's parliament officially confirmed Mr Sargsyan in the post. The quicker they recognize this fact, the better it will be for Armenia and Artsakh.
Critics saw the move as an attempt to stay in power by Sargsyan, who served as president from 2008 until term limits forced him out in March.
After the 2008 presidential vote, 10 people died in clashes between police and supporters of the defeated opposition candidate.