Team Marussia, for whom Jules Bianchi was driving at the time of his fatal crash at the Japanese Grand Prix in 2014, is also targeted by the action on the family's behalf brought by British law firm Stewarts Law
Jules Bianchi, who will be 26 next month, has been in a coma fighting for his life in controlled medical conditions in hospital in his home city Nice, France.
Jules Bianchi, who finished ninth in Monaco to give Marussia their first and, to date, only points-scoring finish in the sport, suffered life-threatening head injuries when he crashed during last October's Japanese Grand Prix.
Manor Marussia included on the FIA's official entry list for the new season. The team announced their intention to be ready in time for Australian Grand Prix on March 15.
Marussia are still hoping to come out of administration this month but the decision not to allow them to use last season's car has closed the door on them lining up for the season-opening race in Melbourne on March 15.
Races in Australia, Malaysia, China, Japan and Russia have all been brought forward with organisers ruling that no Grand Prix should start within four hours of sunset.
Jules Bianchi's family said in a statement that the Marussia driver was still listed as "critical" and that he could remain in a serious way for a long time.
FRP was unable to secure the investment needed to continue the company. It became administrator after Russian billionaire shareholder Andrei Cheglakov was unable to provide the funding needed to keep the team going.
According to a leading English Daily, British Indian brothers Baljinder Sohi and Sonny Kaushal are looking to purchase Formula One team Marussia for a reported sum of 70 million euros.
It's not the first time a race in the United States started with a small grid. At the 2005 U.S. Grand Prix in Indianapolis, a dispute over safety resulted in only six cars taking part in the race.
After Caterham, Marussia have become the second Formula One team to be placed into bankruptcy protection and will not race at the United States Grand Prix.
The 10-member group, which will also include renowned former Formula One team chief Ross Brawn, "will carry out a full review of the accident to gain a better understanding of what happened, and will propose new measures to reinforce safety at circuits," the International Automobile Federation said.
Marussia issued a statement on Wednesday vehemently denying that
Jules Bianchi suffered a severe head injury when his Marussia car skidded off the wet course at Suzuka and ploughed into a tractor recovering another car that crashed out at the same spot one lap earlier. His condition is critical.
Marussia team CEO Graeme Lowdon said the backing received by his team had been a big help as they grappled with the shock of Jules Bianchi's life-threatening crash in last Sunday's Japanese Grand Prix.
Marussia driver Jules Bianchi suffered a severe head injury at last Sunday's Japanese Grand Prix Suzuka and remains in a critical condition in a hospital in Japan. His car rammed into a crane picking up another car that had skidded off the course in wet conditions.
Frenchman Bianchi, 25, remains in a 'stable but critical' condition and in intensive care after suffering a severe head injury when he collided with a recovery vehicle at last weekend's Japanese Grand Prix.