The European Commission, the executive arm of the 28-nation European Union, received the petition in March from Stop Vivisection, a European citizens' initiative.
"Thanks to major technological advances, Europe is reducing the use of animal testing," European Commission Vice-President Jyrki Katainen said in a statement.
"However, a complete ban on animal research in the EU would be premature and it would risk chasing out biomedical research from Europe," added the vice president for jobs, growth, investment and competitiveness.
Vella stressed: "The ultimate aim of EU legislation is to phase out all animal testing".
The commission statement said some animal studies are "still needed to advance research and to safeguard human, animal and environmental health" despite technological breakthroughs.
The campaigners oppose a 2010 EU law which allows animal tests but says they should be replaced by other methods where possible and that suffering should be kept to a minimum.
According to EU figures for 2011, around 11.5 million animals underwent tests for scientific purposes.
