We’ll tell that to my parish priest. Children who haven’t been baptised/ christened can receive a blessing in my church.
My son and daughter have had friends staying at the weekend, they have come to mass on Sunday with us, they like it very much. I know they rant catholic, but it doesn’t matter what they are. They come and get a blessing of the priest.
In my opinion, which counts for nothing of course, it is the NON-Catholics who are in most desperate need of a blessing.
In response to the OP, YES, yes, yes, invite non-Catholics to Mass! JESUS is there, Truly Present, and surely, we Catholics should love bringing our friends and loved ones to Jesus, just as Andrew brought his brother Peter to Jesus.
Be aware that many Protestants have obligations at their own Protestant churches (play piano, sing in the choir, take turns working in the nursery, teaching Sunday school, youth group sponsor, etc.) and they may not be able to get away in order to attend Mass with you. So use some strategy–find out what time they attend their church, and then several weeks later, invite them to come to a Mass with you when they aren’t at their own church.
I think this simple strategy could make all the difference in getting a positive response to your invitation to Mass. Many Protestants are very curious about what goes on at a Mass, and they would love to go with you.
Also, I know that some Catholics think that it would be best for Protestants to attend the Latin Mass rather than a Mass that looks like their own Protestant church worship service. I strongly disagree, at least when it comes to Evangelical Protestants. Yes, of course there are exceptions, but I think that most Evangelical Protestants would be strongly turned OFF to Catholicism by the Latin Mass. The OF of the Mass is confusing enough for Evangelical Protestants, most of whom have never experienced any kind of liturgical worship in their lives, other than reading the Lord’s Prayer (Our Father) once or twice a year, usually on “Founder’s Day” or “Rally Day” or some other occasion in which their “old-fashioned church history” is celebrated.
If you invite a non-Catholic to Mass, be prepared to explain things. I would recommend getting that great little booklet, “Mass Appeal” which was written by Jimmy Akin and handing it to your non-Catholic friends who attend Mass with you.
God bless you for bringing people to Jesus at Mass! They will thank you for all eternity!