The summit, which is likely to take place early next year, follows calls from rivals including Npower and EDF Energy and independent watchdog Energywatch to force the Centrica-owned company to submit all its ads for pre-vetting by the ASA.
An Energywatch spokeswoman said that it was concerned that British Gas had been "attempting to exploit consumers on such a scale" and added that an investigation was urgently needed.
This week, the ASA will rule that British Gas' most recent TV campaign, which promoted its Price Freeze offer until 2010, has also been found misleading, following several complaints. It follows several recent rulings against the company.
An ASA spokeswoman confirmed it was planning to meet British Gas to discuss its "compliance record", but said it was important to bear in mind that more than 50% of the complaints came from rivals "because this is such a highly competitive industry".
Kevin Miles, managing director of Npower residential, said that pre-vetting of ads was necessary because the ASA's rulings "seem to have had little or no impact".
British Gas has hit back, accusing Npower of using the ASA to gain some competitive advantage.
It also pointed to Energywatch figures, which it said showed that Npower had been the subject of more customer complaints about sales than it had between July and September this year.
It confirmed it would work with the advertising watchdog to avoid adverse rulings in the future.
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