Spe Salvi and hope for the souls in Purgatory

As we near the end of the month traditionally dedicated to prayers for the Holy Souls in Purgatory, I was heartened by this section of the Holy Father's latest Encyclical, Spe Salvi:

Now a further question arises: if “Purgatory” is simply purification through fire in the encounter with the Lord, Judge and Saviour, how can a third person intervene, even if he or she is particularly close to the other? When we ask such a question, we should recall that no man is an island, entire of itself. Our lives are involved with one another, through innumerable interactions they are linked together. No one lives alone. No one sins alone. No one is saved alone. The lives of others continually spill over into mine: in what I think, say, do and achieve. And conversely, my life spills over into that of others: for better and for worse. So my prayer for another is not something extraneous to that person, something external, not even after death. In the interconnectedness of Being, my gratitude to the other—my prayer for him—can play a small part in his purification. And for that there is no need to convert earthly time into God's time: in the communion of souls simple terrestrial time is superseded. It is never too late to touch the heart of another, nor is it ever in vain. In this way we further clarify an important element of the Christian concept of hope. Our hope is always essentially also hope for others; only thus is it truly hope for me too. As Christians we should never limit ourselves to asking: how can I save myself? We should also ask: what can I do in order that others may be saved and that for them too the star of hope may rise? Then I will have done my utmost for my own personal salvation as well.

Please remember those souls undergoing purification in your daily prayers. Thanks!