If you only secured a pay rise / promotion after handing in your notice you may want to consider why this wasn’t recognised by your employer before.
It can cost an employer as much as 213% of your salary to replace you, so make sure they are asking you to stay for the right reasons.
Remember what motivated you to move in the first place – will the counter-offer fulfil those wants and needs?
A career move now could help you get to where you want to be in the future,examine whether the same progression and development opportunities will be there with your current employer.
It could get awkward with your employer if you do stay, as they’ll know that you were actively looking and interviewing elsewhere, so bear this in mind.