Thank you for reaching out to the Wefugee community and sorry for the late reply!
I am not sure, if I fully understood the situation. But in general, the country which has issued your visa will also be responsible for the asylum procedure.
The UNHCR explains:
"If you have a visa, the state responsible for the examination of your application is the “Dublin III” State that issued the visa, when the visa has expired for no more than six months. If you have more than one residence permit or visa, the “Dublin III” State responsible for the examination of your application depends on the duration and the expiry dates of the residence permits or visas."
I hope this helps and please don't hesitate to get back to us with any further questions.
All the best,