Former England footballer Paul, 47, was allegedly found outside his home in Dorset, drunk and holding a bottle of vodka.
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27-year-old model Bianca wrote: "Thank you for your kind words", before retweeting one of the kind messages.
The user said: "Thinking of ur dad, you & your family at this time. Hope he gets better soon & my thoughts & prayers are with u all xx (sic)."
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Paul has a history of problems with alcohol and he previously revealed that he 'nearly died twice' from alcohol abuse.
A source told the Mirror that police and paramedics were called to Paul's home following his 'relapse'.
They said: "It is very sad. But the reality is Paul has been drinking for the past few weeks and once that happens, things will only end one way.
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"Today things came to a head. he has a lot on his plate as he is in the process of trying to find somewhere to live."
According to reports, Paul is being evicted from his home following recent noise complaints.