Writing on social media after the blasts, Macron said: “Nothing can smother the aspiration of Syrian women and men to live in a fully sovereign, safe, pluralistic, and united Syria.
“This morning I met Syria in all its diversity. I saw dignity, courage, and determination. My visit continues.”
Later, at a joint news conference with Sharaa, Macron said people “must at once stand alongside those who have been injured [by the bombings], continue to be uncompromising on security… but not let ourselves be destabilised.”
Sharaa praised Macron’s “courage” for continuing his visit.
Apart from security issues, Macron’s visit was focused on Syria’s difficult economic situation, with reconstruction expected to be one of the main themes.
He was joined by French business leaders and visited an economic forum where 15 bilateral agreements in sectors including civil aviation, health and banking were signed.
The French president’s trip underlines Syria’s return to the global stage 19 months after Sharaa’s Islamist group led the rebel offensive that overthrew Bashar al-Assad.
Sharaa, a former al-Qaeda commander from Syria’s Sunni Muslim majority, has vowed to unify a divided country after five decades of repressive rule of the Assad family and a devastating 13-year-long civil war.
His government faces security challenges from a range of armed groups, including the jihadist group Islamic State (IS), which has claimed a series of attacks in recent months.
Last week, a bomb blast at a crowded cafe in central Damascus killed at least nine people and injured 22 others, according to Syrian state media.
Pro-government forces were also involved in violence against religious and ethnic minority groups that killed hundreds of people last year.
Additional reporting by Richard Irvine-Brown
