A big sticking point for any FTA with both is agriculture - with the EU and UK farming sectors highly protected and their farmers extremely adverse to any competition from unsubsidised producers from the antipodes.
It appears we are already on the back foot with a UK FTA conmpared to our trans-Tasman cousings, Australia. The jungle drums are beating that a comprehensive FTA (including agriculture) between Australia and the UK is likely to be announced at the upcoming G7 meeting. This follows a visit to the UK by Australia's trade minister Dan Tehan earlier in the year.
If O'Connor's trip to London was not already tough enough following this likelihood, he also has to contend with growing pressure from the UK's farming lobby on Boris Johnson's government. Recently, National Farmers Union president Minette Batters published an opinion piece in the Mail on Sunday headed: 'You can't level up by throwing our family farms under a bus'.
She mentioned how the UK is currently in trade negotiations with a number of major agricultural producers, including Australia and New Zealand and how these talks have "reached a crucial stage".
"And it's clear that negotiators from Australia and New Zealand are sticking firm to their hard-line demands for the complete removal of tariffs on all their exports to the UK," Batters opined. "This would make life unbearable for small British family farms, which, remember, must respect British laws governing high farm standards."
Batters then claimed it was all but impossible for British farmers to compete with "vast volumes of imports from the southern hemisphere". She then went on to falsely claim that UK producers would have to lower their environmental and animal welfare stands to compete with NZ and Australian produce.
In a highly emotive conclusion, Batters said: "The plain truth is this: removing tariffs for vast, unmanageable volumes of Australian beef or New Zealand lamb - of, God forbid, allowing zero tariffs on all their produce - could spell the end" (of British farming).
That's the attitude O'Connor faces on his trip to London. Good luck, he's going to need it!