The Business Secretary Greg Clark has been in Paris to try and secure thousands of British jobs if Vauxhall is bought by Peugeot owners PSA Group.
PSA want to buy Vauxhall's parent company General Motors which would put the future of their Luton plant in doubt.
General Motors' European headquarters are in Germany but they have Opel and Vauxhall factories in several other countries - including two in the UK.
If the PSA Group were to take them over, the fear is that those factories in Luton and Ellesmere Port in Cheshire would become redundant - meaning some 3,500 British jobs could be moved to the continent.
The government says its determined not to let that happen though and today's talks have been described as "constructive".
Mr Clark also added that he was given assurances that PSA "valued highly the enduring strength of the Vauxhall brand."
Luton North MP Kevin Hopkins has been following developments closely, and insists he's "optimistic" about the future of Vauxhall in the town.
"Obviously we don't want uncertainty, but I have to say I'm relatively optimistic about Luton," he told ITV News Anglia.
"We have a superb workforce and a brilliant van which has been going for the last couple of years so I'm optimistic.
"The Secretary of State (Greg Clark) was saying yesterday he came out of the meeting with the chairman of General Motors and the leader of the Unite union (Len McCluskey) sounding very positive. Let's hope that bears fruit."