The court hearing began on Tuesday but was adjourned to reopen yesterday.
The council was seeking a ruling that the local Unison branch had defied an injunction obtained on 27 June when it staged a strike the next day. The council claims the branch did not fulfil its legal obligations to hold a secret ballot and give seven days' notice of action.
It was seeking sequestration of the union's assets for contempt of court and action against two local union officials - branch chair Martin Murphy and branch secretary Nigel Flanagan.
Following the third strike on 7 July the council's policy and resources committee decided not to pursue the externalisation option. A sub-committee subsequently decided to refer the contempt back to the High Court.
A one-day strike by Unison in protest at Bromley LBC's plans to introduce a local pay scheme last Thursday had no significant impact on services, according to the council. It estimates that 286 of the Unison branch's 880 members took strike action.
The Unison branch estimates nearly 1,000 people obeyed the strike call. Branch secretary Glenn Kelly said the strike exceeded expectations. 'Their figures are laughable,' he said.
The branch says it will give the council until September to put together detailed proposals but will consider further action if various demands are not met. The union wants the council to ballot all staff on the scheme, to guarantee that no-one will be worse off and to allow existing and new staff to have the right to remain within the national scheme.
The council says new staff will be given local contracts and existing staff will have to switch to local contracts when they change jobs.