Cardinal Burke has recently uttered some very (of course!) wise remarks relating to the sharing of the Sacraments between Catholics and Non-Catholics. See Rorate. But there can be a risk that his words will be misunderstood.
What his Eminence actually talks about is not, formally, the admission of 'Non-Catholics', as such, to the Sacraments. This is because he is well aware that Sacramental Sharing is not merely allowed by the Church's current canonical legislation, but even in some circumstances encouraged. This is most true with regard to those ('Eastern') communities in which the Church recognises the valid existence of her own Sacraments, such as Holy Order and the Eucharist, although outside her own strict canonical unity. Lest, however, there be some who might be tempted to use this fact as a rod with which to beat the 1983 Codex Iuris Canonici, I will again draw the attention of such readers to my pieces on the Church's praxis before 1983 ... in the eighteenth century Aegean and, with the permission of Pope S Pius X himself, in twentieth century Ukraine and Russia.
For obvious reasons, things are much less positive with regard to the ecclesial communities which emerged from the 'reformation'. But, even here, the canonical negative is not absolute.
What Cardinal Burke, with pinpoint accuracy, is concerned to make clear is that, for their own sake, the Eucharist ought not to be offered to those who do not truly believe that the Elements are the Body and Blood of Christ. This is because S Paul made clear that those who so eat and drink, "not discerning the Lord's Body", eat and drink ... nothing less than their own damnation. The current law is very insistent on this point, and properly so.
I will stick my neck out and say that I regard it as very highly improbable that, in Lund, tomorrow, as he visits Swedish Lutherans, the Holy Father will issue any general invitation to Lutherans and Catholics to receive at each other's altars. The most I would regard as within the realms of the remotely possible is some sort of minor move within the limits of what is already permitted by the current law. But even this I strongly doubt. Thirty six hours will show whether I am right! But I do think that some people allow themselves to be upset by unreal fears begotten by simplistic and irresponsible headlines.
Further arguments against any major change include these:
(1) the arrangement could not be made reciprocal, because of the unlikelihood that any Lutheran Orders, even in Sweden, are valid; and
(2) it would understandably profoundly upset those Anglicans who accept the fulness of Catholic Eucharistic teaching if favours were granted to Scandinavian Lutherans (not a few of whom Luther himself would probably not now find it easy to recognise as even Christian) which had not been granted to Catholic Anglicans.
Any slight movement in this area would need to be approached very carefully; it is not the sort of thing that is suitable material for gesturpolitik. Anything that even looked like this would be the height of imprudence.