Ten-year gilt yields edged up by almost 2 basis points to 0.843% .
Earlier on Monday, Bank of England Governor Andrew Bailey said he was more optimistic about the economy, "with a large dose of caution," and the rise in rates in financial markets was consistent with recovery prospects.
"We think that the measures implemented by most central banks in the region are supportive of liquidity but do not remove or reduce credit risk from the balance sheet of banks (yet)," said S&P.
"I will propose to parliament ... a new increase in the deficit," said Draghi, who took office a month ago at the head of a government of national unity. Rome's most recent estimate was for a deficit-to-GDP ratio of 8.8% this year.
Like many countries, France has seen a surge in savings during the coronavirus crisis due to various restrictions on movement that prevented people from spending in bars, restaurants, cultural venues and on trips.
The central bank estimated last month that households had built savings in excess of what could be expected under normal circumstances of up 120 billion euros ($144.4 billion) last year.