Posh boss Gary Johnson told BBC Radio Cambridgeshire: "He showed some real Premiership quality, some great headers and played some terrific balls.
"It's always handy to have a left-footed centre-back, but we'll have to wait and see what happens."
Queudrue, who spent time on loan at Colchester United last season, is a free agent after leaving Birmingham.
With Gabby Zakunai still recovering from groin surgery, Johnson is on the look-out for defensive options.
"We'll need to have a chat because we might be a chasm away in terms of salary, but he's a good footballer and a good lad," he said.
Dave Hibbert scored his first Posh goal as Johnson handed most of his squad a run-out.
Midfielder Chris Whelpdale was substituted after picking up an ankle knock, while Lee Frecklington remains on the sidelines.
Source: BBC Sport
Source: BBC Sport