Education services director Ronnie O'Connor made the move because union representatives have so far refused to discuss a local resolution.
This refusal comes despite the fact that that the Convention of Scottish Local Authorities made it very clear that a nationally negotiated settlement is out of the question, and despite the fact that four other councils in Scotland have now reached a local agreement.
Steven Purcell, the council's education services convener, said: 'The decision was taken to write directly to the nursery nurses explaining the position and outlining the offer which we hope could bring an end to the dispute.
'We value the pre-five service offered to parents and children in the city and we value the staff working in this sector, and our offer reflects our commitment to both. Reaching an agreement is an outcome we want to achieve as quickly as possible.
'In effect, the offer would mean increases for nursery nurse staff varying from 3.1% to 14.8%, which would be in addition to the 4% increase the nursery nurses, like other members of staff, received in April 2003.'
There are 123 local authority pre-5 establishments - 72 nursery schools, 22 nursery classes in primary schools, 20 day nurseries and nine family learning centres.
The facilities offer 12,000 part time places.