Mr Corbyn's attempt to build bridges looks dead in the water, after the community leaders said the meeting had been hard and dismissed it as "a disappointing missed opportunity" to deal with the problems of anti-semitism in the Labour Party.
They said in a statement: "We welcome the fact that Mr Corbyn's words have changed but it is action by which the Jewish community will judge him and the Labour party".
The Labour leader has admitted the party needs to "do better" in the fight against abuse and has issued an apology for the "pain and hurt" caused by anti-Semitism.
Cllr Fojtik, who is not Jewish, said: "Obviously the issue of anti-Semitism has been in the news recently and I think it's important for us locally to support Jewish and non-Jewish minorities".
Allegations of Labour anti-Semitism have grown since Corbyn, a pro-Palestinian socialist, was elected leader of Britain's main opposition party in 2015.
Speaking of last month's anti-Semitism protest, which saw Labour MPs say "enough is enough", Ms Manson said: "The demonstration wasn't against anti-Semitism". He has himself faced questions about his own links to known anti-Semites, past comments on Israel, and associations with vehemently anti-Israel figures.
While they did welcome Mr Corbyn's words on anti-Semitism - and his denunciation of those who said the problem had been invented or exaggerated - their verdict on action, or lack of it, means that the issue remains a potent force in the hands of the Labour leader's internal and external opponents.
Mr Corbyn said he had asked Labour's general secretary Jennie Formby to improve disciplinary procedures and ensure complaints are dealt with swiftly and fairly.
The party's dispute with the Jewish community probably won't be resolved, either, as long as he is leader.
Mr Corbyn said: 'When members of Jewish communities express genuine anxieties, we must recognise them as we would those of any other community.
"We will lay out the further steps we are taking in the coming weeks".
Responding to the statement from Jewish leaders, which said none of their action points were agreed to, Mr Gwynne said: "That's not my understanding of what was agreed".
"Our meeting with Jeremy Corbyn today was a disappointing missed opportunity", they said in a statement.
They said the proposals they had put forward - which included a fixed timetable for dealing with outstanding case of anti-Semitism, expediting long-standing case like that of Ken Livingstone, and the "transparent oversight" of the party's disciplinary process - was the "minimum level of action" they expected.
Expectations before Tuesday's meeting were low, reported British broadcaster ITV, with little progress being made in preparatory discussions on Monday between representatives from the Jewish groups and Seumas Milne, Corbyn's director of strategy and communications.