Supermarket herb pots? Easier to keep alive the one's you've planted yourself ime.
I have been lucky with a basil pot (from lidl) in the past - stayed alive all season last year - but it's probably more luck than skill or special treatment. They're often hothouse plants grown in Israel or similar, growth speeded up by nitrogen and timed so they look good on the shelf for a few days. They're not really adapted to the conditions of a British windowsill, plus they're generally lots of small plants shovelled into too little soil. Repot them in bigger containers and take your chances (allow it to acclimatise for a little before you take the protective plastic wrapper off) or get a plant from a garden centre/grow from seed if you can take the time.
I have been lucky with a basil pot (from lidl) in the past - stayed alive all season last year - but it's probably more luck than skill or special treatment. They're often hothouse plants grown in Israel or similar, growth speeded up by nitrogen and timed so they look good on the shelf for a few days. They're not really adapted to the conditions of a British windowsill, plus they're generally lots of small plants shovelled into too little soil. Repot them in bigger containers and take your chances (allow it to acclimatise for a little before you take the protective plastic wrapper off) or get a plant from a garden centre/grow from seed if you can take the time.