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Are there other, perhaps special situation, where such a Catholic - divorced and remarried - may be allowed to receive the Eucharist?
No there aren't Unless a declaration of nullity [cf.entire Ch 1 (Art 1-7) Code of Canon Law] is issued on the prior marriage, and the current marriage convalidated.
a. Epikeia and aequitas canonica exist in the sphere of human and purely ecclesiastical norms of great significance, but cannot be applied to those norms over which the Church has no discretionary authority. The indissoluble nature of marriage is one of these norms which goes back to Christ Himself and is thus identified as a norm of divine law. The Church cannot sanction pastoral practices - for example, sacramental pastoral practices - which contradict the clear instruction of the Lord.
In other words, if the prior marriage of two divorced and remarried members of the faithful was valid, under no circumstances can their new union be considered lawful and therefore reception of the sacraments is intrinsically impossible. The conscience of the individual is bound to this norm without exception.2
2 Cf. Angel RodrΓguez LuΓ±o, Lβepicheia nella cura pastorale dei fedeli divorziati risposati, ibid., pp. 75-87; Piero Giorgio Marcuzzi, S.D.B., Applicazione di "aequitas et epikeia" ai contenuti della Lettera della Congregazione per la Dottrina della Fede del 14 settembre 1994, ibid., pp. 88-98; Gilles Pelland, S.J., La pratica della Chiesa antica relativa ai fedeli divorziati risposati, ibid., pp. 99-131.
Please see also
CCC 1665 The remarriage of persons divorced from a living, lawful spouse contravenes the plan and law of God as taught by Christ. They are not separated from the Church, but they cannot receive Eucharistic communion. They will lead Christian lives especially by educating their children in the faith.
And
CDF October 22, 2014 response to the Question of a French Priest: "Can a confessor grant absolution to a penitent who, having been religiously married, has contracted a second union following divorce?"
Endnote
Please see this answer to: Is a Catholic annulment divorce in a Catholic way?