Do you mind if I sit here next to you?
'Dispiace' — 'dis-PYA-che'. Three syllables; 'ce' at the end is a soft 'che' sound.
Use at a bus stop with limited seating when you want to sit next to a stranger, showing consideration and politeness.
'Le dispiace' uses 'dispiacere' in the formal 'Lei' form: 'does it bother you'. 'Se mi siedo' is a conditional clause: 'if I sit'. This construction demonstrates awareness that your action might inconvenience the other person.
Posso sedermi qui?
May I sit here?
Simpler and more direct; informal register.
È libero questo posto?
Is this seat free?
Checks availability without asking for permission.
Non disturbo se mi metto qui?
I won't disturb you if I sit here?
Slightly less formal; 'disturbare' means to bother.
Italians are generally welcoming to polite requests like this. Using the formal 'Lei' form with strangers at bus stops, especially elderly people, is considered respectful and will always be appreciated.