The 1031 exchange can be used to go into any other type or size of investment real estate, including some fractional passive instruments like Delaware Statutory Trusts and Tenants in Common properties. 

You could also 1031 exchange one or more of the paid off properties into something bigger as others have recommended.

I just sold a property and am executing a 1031 exchange.

Make sure your management company also gets a release of all claims by the tenant in exchange for the money. 

Are there any restrictions on foreign ownership and on renting short-term;3.

Probably start doing some 1031 exchanges for the next 10 years if I can find the right deals.

3) Is there any way (apart from a 1031 exchange, which I believe is fairly rare for syndications) to avoid or reduce deprecation recapture as an LP? 

3) Is there any way (apart from a 1031 exchange, which I believe is fairly rare for syndications) to avoid or reduce deprecation recapture as an LP?

My offer was rejected.I am a newbie and also a foreign national, investing long distance from another country.

I specialize in exchanges and partnerships (typically real estate), but I’m pretty well versed in tax overall.