The party also urged to take the action against those who will use the religion, muscle power and illegal money during election. It said that EC should be held accountable for their activities during the election and post-election period.
The party also called for banning all anti-liberation parties and individuals in the country.
During the meeting with the president, Khelafat Andolon submitted a six point proposal, the press secretary said.
It proposed the establishment of permanent, neutral, skilled and capable Election Commission in the interest of democracy.
The party suggested that experienced individuals be included in the next EC.
It mentioned in their proposal to bar anti-religion persons, owners of black money and loan defaulters and their family members from taking part in politics.
They also want the relaxation of the 33 per cent quota in all committees at local and national levels reserved for women.
According to Bangabhaban press wing, the other parties invited for the dialogue are Bangladesh Sammobadi Dal and Islami Andolon Bangladesh on 4 January, Jamiat Ulema-e-Islam Bangladesh on 5 January, Gono Front and Liberal Democratic Party (LDP) on 6 January, Krishak Janata League and Bangladesh Muslim League (BML) on 9 January and Jatiya Party (JP) and Jatiya Somajtantrik Dal (JSD) on 10 January.
The country has now 39 registered political parties, according to the EC website and only nine of them have representation in parliament.
The nine parties are Awami League, Jatiya Party, Bangladesh Nationalist Party (BNP), Bangladesh Workers Party, Jatiya Samajtantrik Dal-Jasod, Bikalpadhara Bangladesh, Ganoforum, Bangladesh Tarikat Federation and Jatiya Party-JP.