Maualuga pleaded guilty to a DUI charge Tuesday in northern Kentucky after hitting two parked cars and a parking meter in the early morning of Jan. 29.
In recent years, the NFL has come down hard on players for off-the-field incidents.
According to the source, a final ruling is not expected to come out of Wednesday's meeting, which was described as more of a personal evaluation of Maualuga by the NFL's substance-abuse team. He is now entered in Stage 1 of the league's substance-abuse program.
Maualuga was a second-round pick of the Bengals in 2009 and had a productive rookie season. He started 15 games and recorded 63 tackles, three forced fumbles and a sack.
On Tuesday, Maualuga pleaded guilty to drunken driving in Kenton County, Ky., and received a suspended sentence.
Maualuga was arrested after police said he hit a parking meter and two parked cars. After pleading guilty on the drunken driving charge, he received a suspended seven-day jail sentence, had his driver's license suspended for 90 days and was put on probation for two years.
In a statement released through his agents, Maualuga apologized "for letting everyone down and making a terrible decision to drive under the influence. I wanted to acknowledge fault quickly and accept the consequences for my actions, which are the same that anyone else facing these charges would receive."
James Walker covers the AFC North for ESPN.com. Information from The Associated Press was used in this report.