Union president Garry Parsloe accused employers beforehand of attacking workers across the board, saying "it seems a crime to have a decent job".
Last night, however, he said the talks went well "and we hope they get better tomorrow".
Asked why the union had decided to fire off another strike notice, he said it was to reserve its position in case he was proven too optimistic after talks resume at 10am.
Yesterday was the last day when the union could legally serve notice if its members wanted to stay out for a fourth week, from March 16.
"It doesn't have to go ahead and if the talks go well we would withdraw it."
The port company did not comment on the new strike notice, apart from saying it was issued immediately after yesterday's talks.
It said the union had clarified several bargaining positions for consideration, which it would review carefully overnight.
A handful of non-union stevedores among its existing staff yesterday began unloading what the company said were more than 1000 containers from only the second ship to berth at its Fergusson terminal since the strike began last Friday.
Although the Importers' Institute says the discharge of cargo is an important development and to the great relief of businesses, the number of ships due to avoid Auckland rose yesterday - according to the port company's website - from 11 to 14.
Opposition parties claim the port dispute is becoming contagious, and egging on other employers assured of almost three more years of rule by an allegedly anti-union Government.
"As soon as employers get the sniff they can push workers to the wall, they are going to do it - Ports of Auckland have started it, Affco's doing it - it's going to spread," Mana Party leader Hone Harawira said on Radio New Zealand.
Labour industrial relations spokeswoman Darien Fenton told the Herald employers were dragging out settlements in expectation of legislation changes which Prime Minister John Key said before the election would be disliked by unions.
These included removing a duty for parties to reach industrial settlements.
Council of Trade Unions president Helen Kelly said the three most prominent disputes had a common feature "which is workers trying to hang on to their terms and conditions".
"None is about making any progress, improving wages and trying to bridge the gap with Australia or catch up with inflation - it's all about attacks on conditions and security of employment."
But Mr Key said the Government was making only modest law changes, and to blame the disputes on those was far fetched.
Auckland University law professor Bill Hodge did not see a link, and attributed the Affco dispute to an individual employer "which marches to its own anti-union drum".
IN DISPUTE
Locked out indefinitely
762 workers at five Affco plants, at Moerewa, Horotiu, Wairoa, Feilding and Wanganui.
Striking
* Up to 900 more Affco workers for 24 hours from 5am today at the above sites and three others, including Wiri and Rangiuru (Te Puke), most of which will be picketed.
* About 300 Auckland port workers, from last Friday, until March 23.
* About 700 employees of rest-home chain Oceania, including about 200 in Auckland, for two hours yesterday and six hours next Wednesday.