Al Jazeera's Laurence Lee reports from the Labour party conference in Liverpool.
When asked about the idea of a possible rerun of the 2016 European Union referendum, Mr. Starmer said the exact question could not been decided until the outcome of Brexit talks was known, but that it would be wide enough to include the option of remaining in the bloc.
"If the government is confident in negotiating a deal that working people, our economy and communities will benefit from, they should not be afraid to put that deal to the public", it adds.
And MP Gareth Snell said Sir Keir's "unilateral declaration" about the possibility of a Remain option was "disappointing".
In a compromise brokered by Starmer and backed by the vast majority of delegates in a show of hands on Tuesday, Labour's formal position is now that the party will seek a public vote on Brexit if parliament rejects Theresa May's deal and it can not force a general election.
Ms Long-Bailey claimed the party was keeping "all options on the table" - but refused to clarify whether that would include the option to Remain.
How significant is the motion?
Instead he said the public should just be given the choice of what sort of Brexit deal they wanted. But the motion passed was a compromise - leaving the option of a second referendum open, but not calling for it directly.
Speaking after Starmer, Steve Turner, assistant general secretary of trade union Unite, said any vote on the outcome of Brexit negotiations could not be a re-run of the 2016 in-out referendum.
The policy position came after hours of wrangling between different parts of the party over whether it should support another referendum.
Mr Burgon dismissed calls for a second referendum on membership of the European Union, arguing that an election for a new Government would allow Labour to take over the negotiations with Brussels.
"If a Labour Government is elected in that early general election then what we'll do is bring the country together".
He told Sky News: "We will vote against (a deal) if it doesn't meet our six tests".
While the motion received overwhelming support at the Labour conference, it has not been welcomed by everyone.
Ministers agreed in principle to give their support to recommendations made by the independent Migration Advisory Committee on migration from the European Economic Area after Brexit - a position also supported by the Labour party.
Brexit minister Robin Walker accused Labour of trying to take the United Kingdom "back to square one" and of wanting to re-run the referendum, saying: "Labour promised to respect the referendum result, but are just playing political games and trying to frustrate it".