The Premiership side went through to the second round of the Cup but had to work very hard against Championship opposition, writes Huw S Thomas.
Llanelli have won the Cup 14 times since first winning the inaugural competition in 1972 and will have to play far better than this to win another.
Llanelli had just enough extra pace behind and strength up front to overcome a hard working outfit that was never overawed nor outplayed and enjoyed equal possession for most of the game.
Tata Steel had the early encouragement of a first minute interception try by fly half Simon Evans but the lead lasted no more than seven minutes.
Full back Dion Jones made and converted a try by wing James Ball but the spirited Steelmen held their own until centre Nick Harwood sliced through for a second converted try at the end of the first quarter.
The sterling work of the Tata pack in which lock Ben Davies and flanker Gareth Beer were to the fore helped contain Llanelli and if Evans had not failed to pick up a rolling ball the visitors would have got a second try.
A break by fly half Nic Damjanovic crafted another converted try for centre James Griffiths to make it 21-5 at the break.
A Jones penalty soon made it 24-5 but it took a while for Llanelli to impose themselves, not helped by a yellow card for lock Lewis Rawlins.
Somewhat against the run of play former Tata wing Gareth Walters and Griffiths raced away for more converted tries against a very determined side that fully deserved to salvage a consolation try for replacement Jordan Crelock.
In a helter skelter finish Tata surprised everyone by keeping going to the very last and went off the Parc Y Scarlets heads high after a full blooded effort.
Llanelli: Tries: J Griffiths (2), J Ball, N Harwood, G Walters. Cons: D Jones (5). Pens: D Jones
Tata Steel: Tries: S Evans, J Crelock
courtesy of Wales online http://www.walesonline.co.uk/sport/rugby/amateur-rugby/llanelli-38---10-tata-6468986
Llanelli RFC 38 - 10 Tata Steel