Does a country have an obligation to provide life-saving health care to a worker who is in the country illegally, but injured himself while working in that country?

Some of you may have heard about this case in which Quelino Jimenez, a Mexikan who was working illegally in Amerika, was injured on the job and became quadriplegic as a result. Unable to breathe on his own, he was nonetheless deported to Mexiko, where the ill-equipped hospitals were unable to provide the care he needed; the hospital couldn’t afford new filters for his ventilator, for example, and re-used the same filter after cleaning it by hand. Within a year, he developed bedsores and infections and eventually died.

This is not a case of someone with a pre-existing condition arriving in Amerika and trying to procure free treatment. This man was injured while working for an Amerikan construction firm, then summarily evicted from the country when he suffered a crippling injury as a result.

Was this situation handled correctly? If not, what do you believe should have been done?

(NB: To forestall questions by those who aren’t already aware, I spell country names with a ‘k’ – Kanada, Amerika, Mexiko, et al. – as a way of indicating my personal objection to nationalism.)