I'd heard about this (the MP at one point offering "eucharistic hospitality" to Roman Catholics), but never could track down any specifics about this, until today (quite by accident.)
On a Russian Uniate website, I found the following excerpt. What was particularly interesting was who was instrumental to this extension of "eucharistic hospitality."
Patriarch Alexei I himself personally presented a "Panaghia"(symbol of the Episcopate) to Bishop Andrei. Shortly thereafter, on December 16, 1969 the then Metropolitan Alexei of Tallinn, now Patriarch Alexei II, acting as Director of Affairs of the Moscow Patriarchate, announced the Sacred Synod of the Russian Orthodox Church's decision to admit Catholics to receive communion in Russian Orthodox churches (this decision was subsequently rescinded several years later).
For me, this is further confirmation that Alexis II's "resistance" to the RCC has no ecclessiological/dogmatic significance. It has everything to do with power and influence, a fear perhaps that the RCC will claim precious territories/souls that the MP desires for itself (as well as being the sole major religious broker with the government in Russia.)
Sadly, this is the "church" which the ROCOR is now of the mind to openly commune with - though not incredibly surprising, given it's avowed relationship with Serbia, which is also heavily involved in ecumenism.
Seraphim