Several political groups, including the Liberals (ALDE), the Socialists (S&D), the Greens and the leftists (GUE/NGL) pushed a motion for a resolution urging action to resolve the crisis.
However, Italian members of the S&D group now appear to be trying to kill the resolution altogether and block the motion.
According to Parliament sources, their fear is that Italian Prime Minister Silvio Berlusconi may use the affair as a media tool to generate bad publicity for the Socialists ahead of the party's internal primary election on 23 January.
The waste crisis began many years ago and has continued under various governments, the Parliament sources said, suggesting that Berlusconi may seek to use his media empire to blame his political opponents.
The vote on the resolution was originally supposed to take place on Wednesday (19 January) but may now have to be postponed until after February.
In April 2010, the European Parliament sent a group of MEPs on a fact-finding mission to the region after the waste crisis had broken out.
Local petitioners in Campania told MEPs they were concerned about the possible health hazards resulting from the waste and the non-compliance of local waste management sites with European standards.
The national authorities, on the other hand, declared the sites of "strategic interest," restricted access to them and called in the military to guard them.
The landfills are near rivers and one of them lies in the Vesuvius National Park. Locals claim that their waste sorting procedures do not conform to regulation and pose a threat to human health.
A report was adopted by the European Parliament on 30 September setting out alternatives to the existing waste management facilities and calling for the withdrawal of military supervision and the allocation of an appropriate budget for tackling the waste crisis.
The European Court of Justice has sentenced Italy for infringements of several directives, such as the Hazardous Waste and Landfills Directive, first in 2007 and most recently in 2010.
Nonetheless, the waste crisis in Campania continues.