The Reds are 19th in the Premier League having won only one of their eight league games under Hodgson.
Galatasaray have the option to make the deal permanent for Insua, who was Liverpool's regular left-back last season but has not figured for the side under Hodgson so far in the current campaign.
Ayala signed for Liverpool in 2008, but found first team opportunities limited under both Hodgson and previous manager Rafa Benitez, making just two league starts.
Murphy has not forgotten the philosophy on the game taught him by Gradi, later honed by two and a half years under Roy Hodgson at Fulham, and paid tribute to both his former bosses.
The draw extends France's unbeaten international run to 22 games, while England remain unbeaten after three games under new coach Roy Hodgson.
He had a trial with Arsenal as a 21-year-old before leaving Danish side B93 for Udinese, where he played under Fulham boss Roy Hodgson.
Arsenal did arrive at The Hawthorns unbeaten in 11 Premier League games but in West Brom they faced a side battling to avoid an immediate return to the Championship and resurgent under new boss Roy Hodgson.
And although he scored twice in the Reds' 2-0 win over Chelsea in November, Torres looked a forlorn figure under previous Liverpool manager Roy Hodgson.
The result will be a welcome glimmer of hope for under-pressure Reds manager Roy Hodgson, who used the breathing space of his team being top of their group ahead of the game to field a team mostly of youngsters and fringe players.
Hodgson said he and Gerrard wanted to draw a line under the matter.
From Hodgson's little left-foot kick-through, Myler then scampered in for try number two under the posts on 16 minutes.
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