Prosecutor Tawanda Zvekare told a Harare magistrate that the case could not be heard as the state was deliberating medical reports relating to Vermeulen's mental health.
"The accused is to be remanded (out of custody) to July 11," Zvekare said adding that "the medical affidavit which we were waiting for has been compiled, and we are (still) making final deliberations."
The 28-year-old batsman, who played the last of his eight Test matches in 2004, faces two counts of arson and will face 25 years in prison with hard labour if convicted.
Vermeulen is accused of first trying to torch the association's boardroom at the Harare Sports Club ground in October last year and then burning down the pavilion at the training academy the following day.
As part of his defence, Vermeulen has been examined by a psychiatrist.
Another medical report from Australia describing the effects of a serious skull fracture he sustained in January 2004, has also been submitted.