The government of Prime Minister Nawaz Sharif scrapped a five-year moratorium on the death penalty in June in a bid to crack down on criminals and Islamist militants in the violence-torn country.
Hangings were due to resume last week until a temporary stay was ordered following objections from the president and rights groups.
European officials are visiting to assess the human rights situation as the bloc considers whether to grant Pakistan access to the so-called GSP-plus scheme of preferential trade tariffs.
"We value as extremely positive the fact that Pakistan adopted the moratorium on the death penalty," she said after talks with government officials, political parties and campaign groups.
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"We hope that Pakistan will keep it. It would be viewed as a major setback if Pakistan were to lift the moratorium on the death penalty."
Countries wanting to gain GSP-plus status are required to ratify and implement a series of international conventions relating to labour rights and governance.
"It would send an overall negative signal since the EU position on the abolition of the death penalty is very clear," he said.
"We don't believe that it will deter any violent crime. There's no evidence it deters any violent crime, including terrorism."
Pakistan is keen to reinvigorate its ailing economy by boosting business with the EU -- already its biggest commercial partner with overall trade reaching 8.1 billion euros (USD 11 billion) in 2011.
A final decision on the GSP-plus application is expected by the end of the year.