Google and the Commission agreed a deal in February over charges that the world's largest search engine was squeezing out competitors in Europe, thereby avoiding potentially billions in fines against the company.
In that accord, Google agreed to give equal prominence to rival services in its search results after competitors -- including Microsoft and TripAdvisor -- argued the company has abused its dominant position in the European market, where it accounts for 90 percent of traffic.
However since then, "some complainants introduced new arguments, new data, new considerations", Almunia told Bloomberg TV in an interview late Monday.
"We need to analyse this and to see if... Google can find solutions to some of these concerns that we consider justified," he said.
EU rules state that a company found at fault in an anti-trust probe can be fined up to 10 percent of its annual sales, in Google's case some $55.5 billion in 2013.
The failure would also mean that the matter would carry over to the next commission, to be headed by Jean-Claude Junker, and a new commissioner.
A spokesman for Google said today the California-based company is continuing "to work with the European Commission to resolve the concerns they have raised."
Almunia has been under intense pressure in several European capitals to not cede ground to Google on several fronts, including on its search function but also content creation.
European lawmakers Ramon Tremosa and Andreas Schwab, who have fought hard to see the Commission's proposed deal with Google shelved, welcomed Almunia's "long awaited change of direction".
The MEPs said the decision "is necessary" as the proposed solution "does not solve the underlying problem of traffic diversion to solely the benefit of Google services.
