I've included the connessione that is reminiscent of the term 'closest connection' i.e. of parties to a place etc. in conflict of laws/ priv. internat. law.

'... If the District Court finds grounds to release the notice of lis pendens based on ... I find that absent the District Court's acceptance of *pendent* subject matter ...'

Continenza is already in ProZ glossaries as 'consolidation/ joinder of actions'. However, I've used concurrent as a pre-litigation stage.

Accessoriness - also translated in the ProZ glossaries as priority-related - has overtones of accessory in crim. law, so I've avoided it by making adjectives out of the whole string.