The mayor had previously been against changing pension rules for police officers and firefighters.
NYPD rank-and-file anger at Mayor de Blasio could spill over onto Commissioner Bratton, sources say.
The closed-door meeting did not offer a resolution between police unions and the mayor, a leader said.
Aides to de Blasio asked Democrats to blast Pat Lynch and officers who turned their backs on mayor.
PBA head Pat Lynch said the mayor and the protesters have "blood on their hands."
Under the city's new rules, Kenneth Healey is only eligible for $10,000 a year if he can't work.
Officer Rosa Rodriguez is the first officer affected by a 2009 change to NYPD and FDNY pensions.
Thompson evoked Trayvon Martin, but cop unions feel he supports legal frisks.
Law enforcement officials decry new rules that restrict ex-cops to seven-shot clips.
Union officials blasted NYPD Commissioner Ray Kelly's rule banning cops from owning NYPD merchandise.
Barry Galfano, a retired NYPD captain, died Sunday at the age of 57.
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