The final shot count of 17-8 in our favour gives an indication of the balance of power over the 90 minutes but the Serie A side picked us off first on the break and then just seconds after we'd come back from 2-0 down to win a dramatic finale.
Roma started well but it took a controversial penalty awarded for handball against Cameron Carter-Vickers, converted by Diego Perotti, to hand them the lead.
We got into our stride mid-way through the first half and pushed Roma back from there. Mousa Dembele struck the crossbar and Alisson did well to deny Harry Kane before the break.
Kane was central to the action again two minutes into the second half when he looked upended by Federico Fazio, but penalty appeals were waved away. Dele Alli, Christian Eriksen and Kane all went close but it looked like we'd fall to a sucker-punch when Cengiz Under scored on the counter for the Italians on 70 minutes.
However, we looked to have rescued the situation in the final minutes when Harry Winks and Vincent Janssen scored on 87 and 91 minutes respectively to make it 2-2.
Unfortunately, there was a sting in the tail. From kick-off, Under got away down the left and crossed low for Marco Tumminello to
slide in from close range - there was no time for a comeback.
Below: Harry Kane gets a shot off under pressure in the first half
Mauricio Pochettino switched from a 4-2-3-1 system played in Saturday's 4-2 win against PSG in Orlando to a 3-4-3 with Carter-
Vickers right of Toby Alderweireld and Jan Vertonghen in the back three and Kyle Walker-Peters left of the four.
Roma started well and Gregoire Defrel headed wide before they took the lead on 13 minutes. Carter-Vickers was eventually penalised for handball in the box but referee Hilario Grjeda appeared to initially ignore appeals before running to speak to an assistant on half-way, then pointing to the spot. Regardless, Diego Perotti slotted home.
Defrel went close again but that chance spurred us into action. The rest of the half was played in Roma's half as first Dembele
fired against the underside of the crossbar, Kieran Trippier curled a free-kick on target and Kane brought the best out of Alisson, his fierce first-time strike tipped away low down by the goalkeeper. Kane made another chance out of nothing but his shot was blocked.
The second half was less than two minutes old when a penalty decision went against us. This time, Kane looked to have been
brought down by Fazio but appeals were waved away. It prompted our best spell. Dele's shot was deflected inches wide and then two chances in a minute, first Kane's shot also deflected narrowly wide and then Eriksen fired over in a crowded box from 16 yards.
We were on top but Roma delivered what looked like a hammer blow on 70 minutes when Kevin Strootman's dangerous cross from the left was cut out by Kevin Wimmer, only for Under to pounce on the loose ball and finish from 12 yards.
There was no throwing the towel in though. Anthony Georgiou, impressive in the second half, forced a fine save from Lukasz Skorupski on 84 minutes and two minutes later, a lifeline as first Janssen hit the post, Georges-Kevin Nkoudou's follow up was blocked but Winks was there to finish from close range.
Thirty seconds into three minutes of added time and we were level as Nkoudou crossed from the right and Janssen fashioned a
finish at the near post.
Joy turned to pain seconds later though as Roma attacked from the restart, moved down the left and Under's cross found Tumminello sliding in to convert from inside the six-yard box.
MAURICIO POCHETTINO SAID
"I'm not frustrated, I'm very happy, so excited to see the players play, develop and improve, getting fitter every day. When you
play teams like Roma and we're playing with young players like Tash (Tashan Oakley-Boothe) and Anthony (Georgiou), that's great news. It's exciting because we played much better than Roma, created more chances and we were unlucky."
Spurs (first half): Vorm, Trippier, Carter-Vickers, Alderweireld, Vertonghen, Walker-Peters, Dier, Dembele, Onomah, Dele, Kane (c).
Spurs (second half): Lloris, Trippier, Alderweireld, Vertonghen (Wimmer 69), Davies, Dembele (Oakley-Boothe 69), Winks, Georgiou, Dele (Nkoudou 76), Eriksen, Kane (Janssen 76). Substitutes (not used): Wanyama, Whiteman, Brown, Austin, Dinzeyi, Miller.
AS Roma (first half): Alisson, Kolarov, Juan Jesus, Fazio, Peres, Nainggolan, De Rossi (c), Gerson, Defrel, Dzeko, Perotti.
AS Roma (second half): Alisson (Skorupski 63), Kolarov (Tumminello 63), Peres, Fazio (Moreno 63), Nainggolan (Castan 63), De Rossi (Pellegrini 63), Perotti (Iturbe 80), Dzeko (Gonalons 63), Manolas, Strootman, Under. Substitutes (not used): Romagnoli, Coly, Antonucci, Labont, Seck, Sadiq, Nura, El Shaarawy.
Goals: Spurs - Winks 87, Janssen 90+1; Roma - Perotti 13 (pen), Under 70, Tumminello 90+2.
Yellow cards: Roma - Kolarov 22; Spurs - Carter-Vickers 40.
Referee: Hilario Grajeda.
It's the third and final ICC match of our US tour against Manchester City at Nashville's Nissan Stadium on Saturday (11pm KO UK, 5pm local).