"Buffalo Wild Wings values an inclusive environment and has zero tolerance for discrimination of any kind ... Buffalo Wild Wings will conduct sensitivity training throughout our Chicagoland sports bars in response to this incident", the statement read.
Lambert said Tuesday that this was a start - but that much more could be done.
"A couple minutes went by and the host went up to my husband and asked "what race are you guys?' My husband asked him why it mattered and the host responded that a table with 2 of their 'regular customers" were next to where we were to be seated and he didn't want us sitting there because he's 'racist, '" Vahl wrote, according to the report.
"He asked me, 'What race are you?' " Vahl said.
The question shocked Justin Vahl, whose sole objective in approaching the waiter had been to request three more chairs for the 18-person group, including several children.
They chose to be seated anyway, but then were told they had to move because the seats they were given were reserved.
The attorney said Buffalo Wild Wings should establish an accountability system and adopt new procedures when hiring potential employees, including asking candidates how they would deal with a racially-charged situation.
Distraught over the incident, one of the members of the group, Mary Vahl, explained what happened on social media, which has drawn national attention to the incident.
"We have been in direct communication with the group of guests to understand their account of what happened and have offered our deepest apologies for any unacceptable behaviour", the person said in a statement.
Ashley Smith said she didn't expect to have to try to explain to her children why someone wouldn't want to sit near them due to their skin color, but she did just that while other children were enjoying boneless wings and fries.
"We are hoping, in fact, we are expecting that they will be good corporate citizens and take the opportunity to do the right thing ..."
Lambert questioned how the company would enforce that.