BillyT92679:
The Holy See keeps ecumenical relations with many different members of the Utrecht communion, especially the PNCC, which is theologically orthodox.
It is my understanding that the PNCC is no longer affiliated with the Utrecht group, largely due to the latter groups new willingness to ordain females.
Some background:
Vatican I was never completed due to the horrible political situation in Italy at the time. It remained for Vatican II to close the Council and further define (or elaborate) the relationship between the bishops and the Holy See. So for the inter-Conciliar period it seemed to some that the role and duties of the Pope in the church was over-emphasized while the role of the college of bishops was under-emphasized. Thus several (four or five at least) generations of Roman Catholics were raised with the ultra-Montanist ideas of the Vatican Council I.
Interestingly, the French national church (Gallicanism) was the principal threat facing the church in those decades, between that and the possible political collapse of the Papal States a need was seen to reinforce the concept of Papal authority within the church.
The first generation saw many intellectuals, bishops and priests doubt the strongly worded terms in the decrees of V-I. Within 20 years large numbers of Eastern Catholics went over to the Orthodox churches where their successors are to this day. The terms of Vatican Council I did not directly cause the withdrawal, but it contributed to the background of the crises.
In the Roman Catholic communities (of North America) there were splits over parochial issues, and the doubts about V-I made it easier to justify withdrawal from the church. Some Polish, Lithuanian and Czech parishes withdrew at that time, the largest being the Polish national church.
In Europe the situation was different because they did not typically have highly mixed plural ethnic societies in the manner of North America. Most of the objectors to the V-I pronouncements were intellectuals and priests, and they approached the little church of Utrecht for bishops, being the only good source for authentic Catholic bishops not in communion with Rome.