Maybe put a Green Scapular under her side of the bed or somewhere she spends a lot of time, and pray the rosary for her. Conversions have occurred through this practice. She may receive the grace to pray with you.

Maybe it's the fact that they have no children after a decade that she has resentment.

of course there's resentment

And he has much bigger problems than his wife not praying with him.

Such as?

Does she not pray at all

I don't think so.

To OP, if you and your wife share at least one meal together, do you pray before you eat?

It sounds like praying the Rosary together is too much--right now.  Does your wife have any favorites saints or devotions?  Perhaps you can pray a novena together.  

It should be that all married women are praying for children !

You didn’t say your ages.  I don’t know for sure, but I highly doubt my mother prayed for children after a certain age!  She prayed for grandchildren.
You cannot convert your wife.  That’s the job of the Holy Ghost.  Your job is to cooperate with God by persevering in prayer for her.  Maybe if you just quit urging her to pray, pleading with her, giving her religious items, purposely praying so she can hear and see you, she’ll think you’ve given up.  That could lead her to wonder if she’s really a hopeless case and go to God for herself.  If you try this, pray about it first and make no change until you get permission.  I don’t know you or your wife, but I know of a woman who converted when her boyfriend seemingly gave up on proselytizing her.

perhaps she will join.  Leave her alone otherwise.

Why? Is nagging/persistence counterproductive?

We are to lead by example.

Maybe talk to her about the couple (family) that prays together stays together.  It brings grace and protection from evil. 


Put in rosary in cd of car or cell phone of rosary in car when you go for a ride.  She might pray along. Or at bedtime.  

If you nag and try to force someone , the more they reject.