The vote fell apart after failure among rival factions, political entities and candidates to agree on basic electoral rules including who should be eligible to run and how disputes should be settled.
The electoral commission initially disqualified 25 of the 98 candidates who had registered but was not able to agree on a final list with the judiciary and parliament amid a messy appeals process.
Parliament spokesman Abdullah Belihaq said the chamber would discuss the electoral process and ways to support it.
An elections committee set up by parliament recommended the establishment of a new government before any new polling date, according to a report published on Twitter by the parliamentary spokesman.
It did not set a new election date but urged the legislature to set out a new roadmap towards elections.
The electoral commission last week proposed a new Jan. 24 election date but parliament may consider a longer delay to tackle some of the problems that prevented Friday's vote taking place, legislators say.
Parliament was elected in 2014 in a poll that triggered Libya's split between warring eastern and western factions, and the main group of legislators sided with the east during the civil war.