Talks following the two-day strike by more than 8,000 women in Glasgow this week were described as positive and constructive by both sides.
Glasgow City Council is planning to put forward a package covering various elements of the women's claims for equal pay with men doing similar work by the end of December.
Further talks are set to take place next week involving Unison, the GMB and Unite unions.
All the city's primary schools were shut and home care services badly disrupted in the strike on Tuesday and Wednesday, and other facilities were hit as workers took supportive action.
The council is facing thousands of individual claims by women, mainly care workers, cleaners, catering and school support staff in the dispute which goes back 12 years.
A council spokesperson told LocalGov: 'Yesterday's meeting was constructive and we are looking forward to further meetings to resolve this dispute.
'There are various elements that need to be agreed to arrive at a settlement but the intention is to reach agreement as soon as possible.'
GMB Scotland organiser Hazel Nolan said: 'Equal pay justice hasn't been won today, we still have plenty hard work ahead of us, but we will move forward in good faith and with optimism.'
