The newspaper says that records sent to its offices detail how “mice activity” was reported at the venue with a recommendation to pest-proof the premises.
It also revealed that food temperature records were not properly kept, areas under and behind cooking equipment needed cleaning, and that flooring in the kitchen was left in a state of disrepair.
A spokesman for Alma de Cuba, which was acquired by hotel company Signature Living earlier this year in a £3.1m deal, said many of the problems went back to before the current owners took over the site.
“We can assure guests that every meal that leaves the kitchen has been prepared in an environment that represents the highest standards of food hygiene,” he said.
“We work with pest control on a regular basis to ensure Alma is kept pest-free. Alma is an old, Grade II listed church in the city centre, which makes this harder than in a brand-new building, but our tough controls mean our kitchen is a clean, hygienic environment.
“There are no longer gaps in temperature monitoring records, and all food information is correctly displayed. The area of floor cited in the inspection has since been replaced. A deep, thorough clean has taken place, and takes place every day.”
A spokesperson for Liverpool City Council said: “A rating of one means that the premises needs to make major improvements. Again we would point out that the vast majority of restaurants and other food outlets in the city have a much higher rating and the general trend has shown improvements.
“We would urge those with a low rating to carry out the necessary works required for them to gain a better score as a matter of urgency.”