If you have been previously married and have got engaged again, usually close friends and family will give you gifts. Some people seem unsure what to give as a gift in this situation.
It's the thought that counts
Couples heading towards their second marriage tend to be more established in life and have accumulated more physical things around them. Engagement gifts for these couples can be less practical and much more a celebration of the engagement itself. Elegant gifts that the couple will be proud to show off work best.
Use what you know
If the couple already have a house, you can pick something that will fit with their taste and decor. Elegant crystal or china almost always fits the occassion. Remember you are getting a gift for the couple and not the individual so work with what you know about them as a couple.