Xini,
the expression is not correct in Swedish.
Either you stay in a bed: 'Jag vill stanna i bädden med dig.'
(It sounds though like some movie phrase from 1930.)
'Bädd' is the noun for "bed", also commonly used as in "flower-bed", today rarely used in the meaning as the place to sleep and make love.
Or you can say: 'Jag vill ligga kvar i sängen med dig.'
Meaning you wish to remain together with someone lying in the bed.
NB!
'Jag vill ligga med dig' is not the same ("I would like to have sex with you.".