The EU lifted sanctions on Friday on Abidjan and San Pedro ports, as well as on the Ivorian Refining Company and the Coffee and Cocoa Trade Management Committee, following a request from presidential claimant Alassane Ouattara.
However, fighting between forces loyal to Ouattara and incumbent Ivory Coast leader Laurent Gbagbo continued in the commercial capital Abidjan.
"The EU statement is a step in the right direction for the cocoa trade, but it is only a step," said Jonathan Parkman, joint head of agriculture at brokerage Marex Financial.
"Until the situation in Abidjan is calmer, there won't be the ability to do very much (to restore cocoa trade)."
Parkman added: "I think we need the situation with Gbagbo to be resolved."
UN and French helicopters attacked forces loyal to Ivory Coast's Laurent Gbagbo overnight into Monday, damaging the presidential residence in Abidjan and destroying heavy weapons that UN chief Ban Ki-moon ordered silenced.
A senior London-based cocoa futures dealer said cocoa was not likely to start flowing again out of Ivory Coast while fighting continued.
"When you've got bullets flying around, no one will want to truck cocoa," the dealer said.
The resumption of cocoa trade would also depend on restoring the crippled banking system in Ivory Coast.
"Without the banking system, it's hard to see how trade will resume," Parkman said.
ICE cocoa futures edged up in early trade on Monday, underscoring fears over the near term supply outlook.
ICE second-month, July cocoa was up $24 or 0.8 percent to $3,009 per tonne at 0829 GMT, around a fifth below the 32-year high of $3,775 per tonne touched on March 4.