Friends,My tenant has broken the lease and moved out of my property (we got her to sign a lease termination agreement, so we could take back possession of the property), but her boyfriend (who is not on the lease) has now entered and is staying in the property....and wouldn't leave.

I would let them know they only need to leave it broom clean, with all rubbish and personal property off of the property for a complete refund of their deposit, and pay a pro-rated amount based on their actual final move out date/turn over keys and possession.

(g) "State" means any of the several States, the District of Columbia, the Commonwealth of Puerto Rico, or any of the territories and possessions of the United States.

The Commission shall have full power to refuse a license for cause or to revoke or suspend a license where it has been obtained by false or fraudulent representation, or where the licensee in performing or attempting to perform any of the acts mentioned herein, is deemed to be guilty of:(a) Making any substantial misrepresentation in connection with a real estate transaction; (b) Making false promises of a character likely to influence, persuade or induce; (c) Pursuing a continued and flagrant course of misrepresentation or making false promises through agents or salespersons or any medium of advertising or otherwise;(d) Any misleading or untruthful advertising; (e) Acting for more than one (1) party in a transaction or receiving compensation from more than one (1) party in a transaction, or both, without the knowledge of all parties for whom he acts;(f) Failing, within a reasonable time, to account for or to remit any monies coming into his possession which belongs to others or commingling of monies belonging to others with his own funds.

Yes, I got title insurance, but I cannot take possession of the property until the lawsuit against the previous property.

Next option is to postpone the closing until after the "permitted and inspected" repairs are made to the property.  3rd renegotiate the purchase price of the property to reflect the damage to the property.  4th create a contract between you and the seller where you take possession of the property and the original owner pays for the cost of repair, this is usually through proceeds from the insurance claim.  

But I don’t recommend this option, because if you or one of your rental properties suffer a catastrophic financial loss (not likely but possible), your creditors will go after not only your business assets but your personal assets as well, which includes money you have in the bank, your home, car, and other possessions."

Who currently is in possession of the earnest money? 

I highly recommend you go through the eviction process and allow the court/law enforcement to safely turn over possession of the property to you.

Is there any other way, short of adverse possession, to expeditiously acquire such a parcel?