A report into the matter concluded that such is the size of Parliament's mice problem that a "herd of cats" would be needed, creating obvious logistical issue, said a Liberal Democrat MP John Thurso.
"The idea has a clear appeal and has therefore been given a full and proper consideration by the House authorities," Thurso said yesterday.
"However, following that consideration there are very clear practical and technical difficulties and this has led to a decision not to accept the generous offer," he added.
"Would you review the decision and on the same model as Number 10 and 11 (Downing Street) to keep the mice population under control, we would consider having a rescue cat released in the evenings?" he questioned.
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"If mice can be close to the source of food and pose a health hazard, one would think it would be perfectly sensible to introduce a cat to keep the mouse population down," he added.
"With regards to the possibility of a cat, given the scale and size of the estate it would be necessary to have a great number of cats to make any real impact," Thurso added.
"Having a herd of cats on the Parliamentary estate would present a number of difficulties. I am advised by my own chief whip that herding cats is quite difficult," he said.
The MPs finally concluded that the large scale problem would require many more than just one cat which would pose very practical difficulties, so no cats are to be appointed in the Palace of Westminster, The Telegraph reported.