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I'm sorry for your loss.  Yes, a Married Filing Joint return can be filed for them.  Also, if there is no income for the estate, then you don't need to file an estate tax return.  https://www.irs.gov/instructions/i1041/ch01.html#d0e340

"The fiduciary (or one of the joint fiduciaries) must file Form 1041 for a domestic estate that has:

  1. Gross income for the tax year of $600 or more, or

  2. A beneficiary who is a nonresident alien.

An estate is a domestic estate if it isn't a foreign estate. A foreign estate is one the income of which is from sources outside the United States that isn't effectively connected with the conduct of a U.S. trade or business and isn't includible in gross income. If you are the fiduciary of a foreign estate, file Form 1040NR, U.S. Nonresident Alien Income Tax Return, instead of Form 1041. "