As previously reported, the bodies of around 50 dead hares, as well as a barn owl and a kestrel, were found outside the Broughton Community Shop in High Street.
Hampshire Constabulary police officers were called at 6.20am on Friday, March 15.
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Police are progressing all lines of inquiry to identify offenders, with members of its Neighborhood Policing Team carrying out reassurance patrols to speak with people in the village.
Country Watch Sergeant Stuart Ross said: “We know the effect this incident has had on the local community.
“To be clear, mindless criminal acts like this one will not be tolerated. Those responsible will face the full force of the law and the consequences for their actions.
“Crime in our rural communities can have a huge impact on the residents who live there, and on the countryside in general.
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“Hampshire and Isle of Wight Constabulary has a dedicated team of officers called Country Watch, whose main priority is to disrupt and tackle the crimes affecting our rural communities.
“We have a