Karla Sanchez died Monday when an SUV slammed into the store on Woodridge and the South Loop. Six others were hurt.
Sanchez's husband filed the suit against H-E-B and the driver, seeking damages of at least $1 million.
The suit claims the driver was negligent and the pillars and/or bollards at the store were deficient and poorly maintained.
H-E-B released the following statement Thursday afternoon.
- "HEB is a Texas based company that cares about its customers and maintains a reputation of helping the communities it serves.
We are thoroughly investigating the facts and circumstances in conjunction with the Houston Police Department and others to fully understand the cause of Ms. Barnes' driving the vehicle in reverse at an increased rate of speed, crossing medians, the parking lot, customer lanes and into the store.
Our condolences and prayers go to the families of all those involved following the accident at our Gulfgate location. We have reached out to the Sanchez family several times and offered full funeral assistance. We are committed to helping the family during this difficult time."
PHOTOS: Vehicle plows into H-E-B