"Maybe Tria's comments are a bit more blunt and reassuring than markets were expecting and that explains the move in Italian bonds, but we are still in an illiquid market for BTPs (index-linked Italian government bonds) and that's illustrated in the market reaction", said ING senior rates strategist Martin van Vliet.
Tria has also said he and the government aim to reduce Italy's debt/GDP ratio, which is now the eurozone's second-highest at 132 per cent, despite promises to increase welfare spending and roll back pension reforms.
The original list of ministers from discussions between the far-right League and the anti-establishment Five-Star Movement (M5S) coalition members - was rejected by Italian President Sergio Mattarella. He was eventually handed a less important portfolio after the head of state refused to accept his nomination.
Tria, a little-known economics professor who is not affiliated to any party, said the coalition was committed to remaining within the single currency.
"The position of the executive is clear and unanimous", Tria told Italian newspaper Corriere della Sera in his first major interview since the country's populist government was sworn in at the start of this month.
"The government is determined to prevent in any way the market conditions that would lead to an exit materialising".
Mr Tria said he had spoken to his German counterpart and was looking for "fruitful dialogue" with the European Union, adding Italian interests chimed with those of Europe.
Tria also challenged the notion that Italy might indulge in a public spending spree after promises by the new government that it would roll back pension reform and increase welfare spending.
He declined to say whether the coalition would hike the deficit target, but said he aimed to meet existing 2018 and 2019 debt reduction goals.
The government has also promised to review a recent shake-up of mutual and cooperative banks, saying the changes risked penalizing domestic lenders. However Tria said the issue "is not the first problem we have to tackle".
"Stop-gap solutions solve nothing", he said.