Answer
In the Name of Allah, Most Gracious, Most Merciful.
All praise and thanks are due to Allah, and peace and blessings be upon His Messenger.
In this fatwa:
During engagement, engaged couples can meet, talk, and go out in the presence of a mahram. They cannot go out alone or talk about sex.
Answering your question, Dr. Ali Suleiman Ali, PhD in Islamic Studies and a co-founder, Core Scholar, and member of the Board of Trustees of the American Learning Institute for Muslims (ALIM), states:
The limits of the relationship between engaged individuals should be at follows:
A- Things they can do:
1- They can meet in the house of the girl’s parents or the suitor’s in the presence of at least one of the mahrams
2- They can go out together for dinner or shopping with one of the mahrams.
3- They can have useful conversations but talking about sex or what is to relateed to that is absolutely prohibited.
B- Things they cannot do:
1- Going out alone.
2- Being in khulwa.
3- Sexual talks and gestures.
4- Exposing more than the face, hands and perhaps neck.
5- They should limit telephone conversation as much as they can
Almighty Allah knows best.