Syrian anti-regime factions exchanged insults on Tuesday after a news conference that saw the head of the Damascus-tolerated opposition ask for a revolutionary flag to be removed from sight.

Louay Hussein, who fled Syria at the end of April after facing charges of "weakening national sentiment," addressed reporters Monday in Istanbul alongside Khaled Khoja, the head of the opposition National Coalition.

The pair had met to discuss a united vision for after the fall of President Bashar Assad but the conference was overshadowed by a row over the flag used by Syrian revolutionary groups after Hussein asked for it to be hidden from cameras.

Writing on Facebook, Hussein said on Tuesday that he had called for the flag's removal "so as not to give the impression that we were addressing a single type of Syrian."

Khoja accepted Hussein's wish to hide "the flag of the revolution" during the conference but provoked the wrath of activists, some of whom went so far as to demand the Coalition chief's resignation.

Anti-Assad campaigners took to Twitter with hashtags including "Khoja doesn't represent me" and "Down with Khaled Khoja," expressing their dismay at what many saw as an "insult" to the protest movement that broke out in Syria in 2011.

"Removing the flag of the revolution is an offense to the shrouds of the martyrs," activist Ibrahim al-Idlebi wrote on Facebook, referring to the practice of burying dead anti-regime demonstrators wrapped in the banner.

Hussein, co-founder of the Building the Syrian State movement tolerated by authorities in Damascus, is still not fully trusted by other opposition groups despite having fled the country.

"Anyone who accepts the demand of the head of a party that only exists on paper cannot seriously represent the opposition," said the Local Coordination Committees, a network of Syrian activists, in reference to Khoja.

The so-called "flag of the revolution" is the banner adopted by Syria after the end of the French mandate in 1946.